Prof. Dr. Radu Precup, corresponding member of the Romanian Academy

Current position:

  • Corresponding member of the Romanian Academy
  • Senior researcher at “Tiberiu Popoviciu” Institute of Numerical Analysis
  • Senior researcher at Institute of Advanced Studies in Science and Technology (STAR-UBB), “Babeş-Bolyai” University

Fields of interest:

  • Nonlinear analysis
  • Ordinary differential equations
  • Partial differential equations
  • Mathematical modeling

Date and place of birth

  • 1955, Pesac (Timiş), Romania

Education

  • 1975-1980, Faculty of Mathematics, Babeş-Bolyai University, Cluj-Napoca
  • 1985, Ph.D. Babeş-Bolyai University, Cluj-Napoca
  • 1990-1991 (9 months), Postdoctoral stage, Bourse du Gouvernement Français (BGF), University of Paris VI

Fields of interest:

  • Nonlinear analysis,
  • Ordinary differential equations,
  • Partial differential equations,
  • Mathematical modeling

Academic positions

  • 1987-1990, Assistant, Babeş-Bolyai University
  • 1990-1994, Lecturer, Babeş-Bolyai University
  • 1994-1998, Associate Professor, Babeş-Bolyai University
  • 1998-2021, Professor, Babeş-Bolyai University
  • 2021-present, CSI, Institute of Advanced Studies in Science and Technology, Babeş-Bolyai University, Cluj-Napoca & CSI, Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy, Cluj-Napoca
  • Visiting professor for short periods: University of Metz (2002, 2005, 2014, 2016, 2018), University of Perugia (2014, 2016, 2019), University of Torun (2013), University of Sfax (2013), University of Ruse (2015).

Conferences organized

  • International Conference on Nonlinear Operators, Differential Equations and Applications ICNODEA-Cluj, 2001, 2004, 2007, 2011 and 2015.
  • Mini-symposium “Analyse non-linéaire”, 8ième Colloque Franco-Roumain de Mathématiques Appliquées, Chambéry (France), 28 août-1er septembre 2006.
  • Workshop (Babeş-Bolyai University – University Paris Sud), Méthodes variationnelles en micromagnétisme, Cluj-Napoca, 2008.
  • Special session SS7: Methods of Nonlinear Analysis for Partial Differential Equations, ICNPAA Congress: Mathematical Problems in Engineering, Aerospace and Sciences, Sao Jose dos Campos, Brazilia, 2010.
  • Workshop on Nonlinear Analysis on the Occasion of the 65th Birthday of Patrizia Pucci, Cluj-Napoca, May 25-27, 2017.

Awards

  • Prizes of Babeş-Bolyai University: 2001 (for book); 2002, 2009, 2010, 2016 (research);
  • Prizes of the Faculty of Mathematics and Computer Science, Cluj-Napoca: 2012 (didactic); 2015 (research)
  • Crystal Prize “The Best Paper”-University of Ruse 2015.

Administrative positions

  • Chairman of Chair of Differential Equations of Babeş-Bolyai University of Cluj (2003-2008)
  • Director Department of Applied Mathematics of Babeş-Bolyai University of Cluj (2003-2008)
  • Director Department of Mathematics of Babeş-Bolyai University of Cluj (2008-2012)
  • Director Doctoral School of Mathematics and Computer Science of Babeş-Bolyai University of Cluj (2012-2015)
  • Member of Mathematics Committee of CNATDCU (2006-2012)
  • Member of the Senate of Babeş-Bolyai University of Cluj (2012-2016)
  • Member of the Scientific Council of Babeş-Bolyai University (2017-2020)

Summary of scientific activity

Books:

  • Ordinary Differential Equations, De Gruyter, Berlin, 2018, 234 pp.
  • Methods in Nonlinear Integral Equations, Kluwer Academic Publishers, Dordrecht-Boston-London, 2002, 232 pp; Softcover reprint of the original 1st ed. 2002, Springer Netherlands, 2013.
  • Linear and Semilinear Partial Differential Equations, De Gruyter, Berlin-Boston, 2013, 294 pp.
  • Differential Equations (Romanian), Risoprint, Cluj, 2011, 189 pp.
  • Lectures on Partial Differential Equations (Romanian), Cluj University Press, Cluj, 2004, 286
  • Theorems of Leray-Schauder Type and Applications (with D. O’Regan), Gordon and Breach Science Publisher, Amsterdam, 2001, 216 pp.
  • Partial Differential Equations (Romanian), Transilvania Press, Cluj, 1997, 216 pp.

List, links and pdfs under construction

Version of October 21, 2023.

Papers:

  1. R. Precup, A. Stan, On equilibrium in control problems with applications to evolution systems, arXiv:2409.09805, 2024.
  2. R. Precup, C.-I. Gheorghiu, Theory and computation of radial solutions for Neumann problems with φ-Laplacian, Qualitative Theory of Dynamical Systems, 23 (, art. no. 107, https://doi.org/10.1007/s12346-024-00963-8
  3. R. Precup, A. Stan, A mutual control problem for semilinear system via fixed point approach, arXiv:2407.21131, 2024.
  4. M. Kohr, R. Precup, Localization of energies in Navier–Stokes models with reaction terms, Analysis and Applications, 22 (2024) no. 6, pp. 1053-1073, https://doi.org/10.1142/S0219530524500118
  5. O. Agratin, R. Precup, Estimates related to the iterates of positive linear operators and their multidimensional analogues, Positivity, 28 (2024) article number 27,
  6. A. Hofman, R. Precup, Vector fixed point approach to control of Kolmogorov differential systems, Contemporary Mathematics, 2 (2024) no. 5, pp. 1311-1425. https://doi.org/10.37256/cm.5220242840
  7. R. Precup, C.-I. Gheorghiu, Theory and computation of radial solutions for Neumann problems with φ-Laplacian, Qualitative Theory of Dynamical Systems, 23 (, art. no. 107, https://doi.org/10.1007/s12346-024-00963-8
  8. P. Jebelean, R. Precup, J. Rodríguez-López, Positive radial solutions for Dirichlet problems in the ball, Nonlinear Analysis, 240 (2024), art. id. 113470, https://doi.org/10.1016/j.na.2023.113470
  9. C. Günther, Al. Orzan and R. Precup, Componentwise Dinkelbach algorithm for nonlinear fractional optimization problems, Optimization, 73 (2024) no 11, pp. 3323-3337. https://doi.org/10.1080/02331934.2023.2256750
  10. S. Koumla, R. Precup, N. Ngarasta, Existence results for some functional integrodifferential equations with state-dependent delay, Differ. Eq. Dyn. Syst., (2023). https://doi.org/10.1007/s12591-023-00661-y
  11. N. Kolun, R. Precup, Localization of solutions for semilinear problems with poly-Laplace type operators, Applicable Analysis, 103(5) (2024), pp. 985-997, https://doi.org/10.1080/00036811.2023.2218869
  12. R. Precup, On the iterates of uni- and multidimensional operators, Bulletin of the Transilvania University of Brasov Series III: Mathematics and Computer Science, 3(65) (2023) no. 2, pp. 143-152, https://doi.org/10.31926/but.mif.2023.3.65.2.12
  13. N. Kolun, R. Precup, Energy-based localization of positive solutions for stationary Kirchhoff-type equations and systems, Georgian Math. J., 30 (2023) no. 6, pp. 891-902, https://doi.org/10.1515/gmj-2023-2039
  14. R. Precup, J. Rodríguez-López, Componentwise localization of solutions to systems of operator inclusions via Harnack type inequalities, Quaestiones Mathematicae, 46 (2023) no. 7, pp. 1481-1496, https://doi.org/10.2989/16073606.2022.2107959
  15. R. Precup, A. Stan, Linking methods for componentwise variational systems, Results Math. 78 (2023) art. no. 246, https://doi.org/10.1007/s00025-023-02026-x
  16. L.G. Parajdi, F. Pătrulescu, R. Precup, I. Şt. Haplea, Two numerical methods for solving a nonlinear system of integral equations of mixed Voltera-Fredholm type arising from a control problem related to leukemia, Journal of Applied Analysis & Computation, 13 (2023) no. 4, pp. 1797-1812, http://doi.org/10.11948/20220197
  17. L.G. Parajdi, R. Precup, I.-S. Haplea, A method of lower and upper solutions for control problems and application to a model of bone Marrow transplantation, Int. J. Appl. Math. Comput. Sci., 33 (2023) no. 3, 409–418, http://doi.org/10.34768/amcs-2023-0029
  18. A. Orzan, R. Precup, Dinkelbach type approximation algorithms for nonlinear fractional optimization problems, Numerical Functional Analysis and Optimization, 44 (2023) no. 9, pp. 954–969. https://doi.org/10.1080/01630563.2023.2217893
  19. M. Kohr, R. Precup, Analysis of Navier-Stokes models for flows in bidisperse porous media, J. Math. Fluid Mechanics, 25 (2023) art. no. 38, https://doi.org/10.1007/s00021-023-00784-w
  20. V. Ilea, A. Novac, D. Otrocol, R. Precup, Nonlinear alternatives of hybrid type for nonself vector-valued maps and application, Fixed Point Theory, 24 (2023) no. 1, 221-232, http://doi.org/10.24193/fpt-ro.2023.1.11
  21. R. Precup, J. Rodríguez-López, Positive radial solutions for Dirichlet problems via a Harnack-type inequality, Mathematical Methods in the Applied Sciences, 46 (2023) no. 2, pp. 2972-2985, https://doi.org/10.1002/mma.8682
  22. R. Precup, Semilinear problems with poly-Laplace type operators, Proceedings of the Romanian Academy Ser. A, 23 (2022) no. 4, pp. 319-328
  23. J. Rodriguez-Lopez, R. Precup, C.-I. Gheorghiu, On the localization and numerical computation of positive radial solutions for φ-Laplace equations in the annulus, Electronic Journal of Qualitative Theory of Differential Equations, 2022, no. 47, pp. 1-22, doi.org/10.14232/ejqtde.2022.1.47
  24. Al. Hofman, R. Precup, On some control problems for Kolmogorov type systems, Mathematical Modelling and Control, 2 (2022) no. 3, pp. 90-99, http://doi.org/10.3934/mmc.2022011
  25. R. Precup, On some applications of the controllability principle for fixed point equations, Results Appl. Math., 13 (2022), art. no. 100236, https://doi.org/10.1016/j.rinam.2021.100236
  26. R.Precup, A. Stan, Stationary Kirchhoff equations and systems with reaction terms, AIMS Mathematics, 7 (2022) no. 8, pp. 15258-15281. doi: 10.3934/math.2022836
  27. O. Agratini, R. Precup, Iterates of multidimensional approximation operators via Perov theorem, Carpathian J. Math., 38 (2022) no. 3, pp. 539-546.
  28. S.H. Amor, R. Precup, A. Traiki, Krasnoselskii type theorems in product Banach spaces and applications to systems of nonlinear transport equations and mixed fractional differential equations, Fixed Point Theory, 23 (2022) no. 1, 105-126, https://doi.org/10.24193/fpt-ro.2022.1.07
  29. R. Precup, P. Rubbioni, Stationary solutions of Fokker-Planck equations with nonlinear reaction terms in bounded domains, Potential Analysis, 57 (2022), 181–199, https://doi.org/10.1007/s11118-021-09911-6
  30. I. Benedetti, T. Cardinali, R. Precup, Fixed point-critical point hybrid theorems and application to systems with partial variational structure, J. Fixed Point Theory Appl. 23 (2021), 63, 1-19
  31. R. Precup, Componentwise localization of critical points for functionals defined on product spaces, Topological Methods in Nonlinear Analysis 58 (2021), No. 1, 51-77.
  32. L.G. Parajdi, R. Precup, M.-A. Serban, I.S. Haplea, Analysis of the effectiveness of the treatment of solid tumors in two cases of drug administration, Mathematical Biosciences and Engineering, 18 (2021) no. 2, 1845-1863.
  33. I.Ş. Haplea, L.G. Parajdi, R. Precup, On the controllability of a system modeling cell dynamics related to leukemia, Symmetry, 13 (2021) no. 10. https://doi.org/10.3390/sym13101867
  34. H. Boulaiki, T. Moussaoui, R. Precup, Positive solutions for second-order differential equations of Kirchhoff type on the half-line, Carpathian J. Math. 37 (2021), No. 2., 325-338.
  35. R. Precup, J. Rodríguez-López, A unified variational approach to discontinuous differential equations, Mediterr. J. Math. 18 (2021) art. no. 62, 14 pp., https://doi.org/10.1007/s00009-021-01705-9
  36. R. Precup, Implicit elliptic equations via Krasnoselskii-Schaefer type theorems, Electron. J. Qual. Theor. Diff. Eqns. 2020, No. 8 7, 1-9.
  37. L. Benzenati, K. Mebarki, R. Precup, A vector version of the fixed point theorem of cone compression and expansion for a sum of two operators, Nonlinear Studies 27 (2020), no. 3, 563-575.
  38. C. Lois-Prados, R. Precup, R. Rodríguez-López, Krasnosel’skii type compression-expansion fixed point theorem for set contractions and star convex sets, J. Fixed Point Theory Appl. 22 (2020), 63, https://doi.org/10.1007/s11784-020-00799-0
  39. L. G. Parajdi, R. Precup, D. Dima, V. Moisoiu, C. Tomuleasa, Theoretical basis of optimal therapy for individual patients in chronic myeloid leukemia: A mathematical approach, Journal of Interdisciplinary Mathematics 23:3 (2020), 669-690, https://doi.org/10.1080/09720502.2019.1681699
  40. R. Precup, J. Rodríguez-López, Fixed point index theory for decomposable multivalued maps and applications to φ-Laplacian problems, Nonlinear Anal. 199 (2020) 111958, 16 p., http://doi.org/10.1016/j.na.2020.111958
  41. D.-R. Herlea, D. O’Regan, R. Precup, Harnack type inequalities and multiple solutions in cones of nonlinear problems, Z. Anal. Anwend. 39 (2020), 151-170, https://doi.org/10.4171/zaa/1655
  42. S. Koumla, R. Precup, Integrodifferential evolution systems with nonlocal initial conditions, Studia Univ. Babes-Bolyai Math.65 (2020), 93-108, http://dx.doi.org/10.24193/subbmath.2020.1.08
  43. L.G. Parajdi, R. Precup, E.A. Bonci, C. Tomuleasa, A mathematical model of the transition from the normal hematopoiesis to the chronic and acceleration-acute stages in myeloid leukemia, Mathematics 2020, 8, art. no. 376, 18 pp., https://doi.org/10.3390/math8030376
  44. V. Ilea, A. Novac, D. Otrocol, R. Precup, Solutions with a prescribed interval of positivity for differential systems with nonlocal conditions, Appl. Math. Comput., 375 (2020), http://doi.org/10.1016/j.amc.2020.125092
  45. A. Petruşel, R. Precup, M.-A. Şerban  On the approximation of fixed points for non-self mappings on metric spaces, Discrete and Continuous Dynamical Systems – B, 2020, 25(2): 733-747, https://doi.org/10.3934/dcdsb.2019264
  46. C. Lois-Parados, R. Precup, Positive periodic solutions for Lotka-Volterra systems with a general attack rate, Nonlinear Anal. Real World Appl. 52 (2020), pp 17, https://doi.org/10.1016/j.nonrwa.2019.103024
  47. R. Bunoiu, R. Precup, Localization and multiplicity in the homogenization of nonlinear problems, Adv. Nonlinear Anal. 9 (2020), no. 1, 292-304, https://doi.org/10.1515/anona-2020-0001
  48. R. Precup, P. Pucci, C. Varga,  Energy-based localization and multiplicity of radially symmetric states for the stationary p-Laplace diffusion, Complex Variables and Elliptic Equations 65 (2020):7, 1198-1209, https://doi.org/10.1080/17476933.2019.1574774

  49. V. Moisoiu, P. Teodorescu, L. Parajdi, S. Pasca, M. Zdrenghea, D. Dima, R. Precup, C. Tomuleasa, S. Soverini, Assessment of measurable residual disease in chronic myeloid leukemia. BCR-ABL1 IS in the avant-garde of molecular hematology, Frontiers in Oncology 9:863 (2019),  https://doi.org/10.3389/fonc.2019.00863

  50. R. López Pouso, R. Precup, J. Rodríguez-López, Positive solutions for discontinuous systems via a multivalued vector version of Krasnosel’skii’s fixed point theorem in cones, Mathematics 7 (5) (2019), art. id. 451, pp 15, https://doi.org/10.3390/math7050451
  51. A. Chinni, B. Di Bella, P. Jebelean, R. Precup, A four-point boundary value problem with singular φ-Laplacian, J. Fixed Point Theory Appl. (2019) 21:66, pp 16, https://doi.org/10.1007/s11784-019-0703-1
  52. S. Koumla, R. Precup, A. Sene, Existence results for some neutral functional integrodifferential equations with bounded delay, Turk. J. Math. 43 (2019), no. 4, 1809-1822, https://doi.org/10.3906/mat-1807-37
  53. R. Precup, J. Rodríguez-López, Positive solutions for φ-Laplace equations with discontinuous state-dependent forcing terms, Nonlinear Analysis: Modelling and Control 24 (2019), No. 3, 447-461, https://doi.org/10.15388/na.2019.3.8
  54. P. Jebelean, R. Precup, Symmetric positive solutions to a singular φ-Laplace equation, J. London Math. Soc.  99 (2019), 495-515, https://doi.org/10.1112/jlms.12183

  55. R. Precup, J. Rodríguez-López, Multiplicity results for operator systems via fixed point index, Results Math. 74 (2019), art. no. 25, https://doi.org/10.1007/s00025-019-0955-5

  56. R. Precup, J. Rodríguez-López, Positive solutions for discontinuous problems with applications to ϕ-Laplacian equations, Journal of Fixed Point Theory and Applications, vol. 20  (2018) art. no. 156, https://doi.org/10.1007/s11784-018-0636-0
  57. O.-M. Bolojan, R. Precup, Hybrid delay evolution systems with nonlinear constraints, Dynamic Systems and Applications, 27 (2018) no. 4, 773-790.
  58. H. Boulaiki, T. Moussaoui, R. Precup, Multiple positive solutions to a (2m)th-order boundary value problem, Carpathian J. Math. 34 (2018), 167-182.
  59. R. Precup, A critical point theorem in bounded convex sets and localization of Nash-type equilibria of nonvariational systems, J. Math. Anal. Appl. 463 (2018), 412-431, https://doi.org/10.1016/j.jmaa.2018.03.035
  60. R. Precup, L.G. Parajdi, Analysis of a planar differential system arising from hematology, Stud. Univ. Babeş-Bolyai Math. 63 (2018), 235-244, https://doi.org/10.24193/subbmath.2018.2.07
  61. A. Novac, R. Precup, Theory and computation for multiple positive solutions of non-local problems at resonance, Journal of Applied Analysis and Computation 8 (2018), 486-497, https://doi.org/10.11948/2018.486
  62. R. Bunoiu, R. Precup, C. Varga, Multiple positive standing wave solutions for Schrödinger equations with oscillating state-dependent potentials, Comm. Pure Appl. Anal. 16 (2017), 953-972, http://dx.doi.org/10.3934/cpaa.2017046
  63. R. Precup, P. Pucci, C. Varga, A three critical point result in a bounded domain of a Banach space and applications, Differential Integral Equations 30 (2017), no. 7-8, 555-568.
  64. R. Precup, C. Varga, Localization of positive critical points in Banach spaces and applications, Topol. Methods Nonlinear Anal. 49 (2017), 817-833.
  65. T. Cardinali, R. Precup, P. Rubbioni, Two abstract approaches in vectorial fixed point theory, Quaestiones Mathematicae 41 (2018), no. 2, 173-188, https://doi.org/10.2989/16073606.2017.1376002
  66. T. Cardinali, R. Precup, P. Rubbioni, Heterogeneous vectorial fixed point theorems, Mediterr. J. Math., 14 (2017) art. no. 83, 12 pp., https://doi.org/10.1007/s00009-017-0888-8
  67. H. Boulaiki, T. Moussaoui, R. Precup, Multiple positive solutions for a second-order boundary value problem on the half-line, J. Nonlinear Funct. Anal. 2017 (2017), Art. ID 17, 1-25, http://dx.doi.org/10.23952/jnfa.2017.17
  68. A. Budescu, R. Precup, Variational properties of the solutions of singular second-order differential equations and systems, J. Fixed Point Theor. Appl. 18 (2016), 505-518, https://doi.org/10.1007/s11784-016-0284-1
  69. O. Bolojan, R. Precup, Semilinear evolution systems with nonlinear constraints, Fixed Point Theory 17 (2016) no. 2, 275-288.
  70. A. Cabada, R. Precup, L. Saavedra, S. Tersian, Multiple positive solutions to a fourth order boundary value problem, Electron. J. Differential Equations 2016 (2016), No. 254, 1-18.
  71. H. Lisei, R. Precup, C. Varga, A Schechter type critical point result in annular conical domains of a Banach space and applications, Discrete Contin. Dyn. Syst. 36 (2016), 3775-3789, http://dx.doi.org/10.3934/dcds.2016.36.3775
  72. A. Budescu, R. Precup, Fixed point theorems under combined topological and variational conditions, Results. Math. 70 (2016) no. 3, 487-497, https://doi.org/10.1007/s00025-016-0589-9
  73. R. Precup, Nash-type equilibria for systems of Szulkin functionals, Set-Valued and Variational Analysis 24 (2016), 471-482, https://doi.org/10.1007/s11228-015-0356-1
  74. A. Budescu, R. Precup, Variational properties of the solutions of semilinear equations under nonresonance conditions, J. Nonlinear Convex Anal. 17 (2016), 1517-1530.
  75. R. Precup, Abstract method of upper and lower solutions and application to singular boundary value problems, Studia Univ. Babes-Bolyai Math. 61 (2016), 443-451.
  76. D.-R. Herlea, R. Precup, Existence, localization and multiplicity of positive solutions to φ-Laplace equations and systems, Taiwanese J. Math. 20 (2016), 77-89, https://doi.org/10.11650/tjm.20.2016.5553
  77. R. Precup, R. Bunoiu, Vectorial approach to coupled nonlinear Schrödinger systems under nonlocal Cauchy conditions, Appl. Anal. 95 (2016), 731-747, https://doi.org/10.1080/00036811.2015.1028921
  78. G. Infante, M. Maciejewski, R. Precup, A topological approach to the existence and multiplicity of positive solutions of (p,q)-Laplacian systems, Dyn. Partial Differ. Equ. 12 (2015), no.3, 193-215, http://dx.doi.org/10.4310/DPDE.2015.v12.n3.a1
  79. O. Bolojan, G. Infante, R. Precup, Existence results for systems with nonlinear coupled nonlocal initial conditions, Math. Bohem. 140 (2015), no. 4, 371-384, http://doi.org/10.21136/MB.2015.144455
  80. T. Cardinali, R. Precup, P. Rubbioni, A unified existence theory for evolution equations and systems under nonlocal conditions, J. Math. Anal. Appl. 432 (2015), 1039-1057, https://doi.org/10.1016/j.jmaa.2015.07.019
  81. A. Novac, R. Precup, Variational properties of the solutions for second-order differential equations and systems on semi-line, Numer. Funct. Anal. Optim. 36 (2015), 930-941, https://doi.org/10.1080/01630563.2015.1041144
  82. R. Precup, I.A. Rus,  Some fixed point theorems in terms of two measures of noncompactness, Mathematica 56 (79) (2014) no 2, 158-165.
  83. O. Bolojan (Nica), R. Precup, Implicit first order differential systems with nonlocal conditions, Electron. J. Qual. Theory Differ. Equ. 2014, no. 69, 1-13, https://doi.org/10.14232/ejqtde.2014.1.69
  84. R. Precup, On the continuation method and the nonlinear alternative for Caristi-type non-self-mappings, J. Fixed Point Theory Appl. 16 (2014), 3-10, https://doi.org/10.1007/S11784-014-0197-9
  85. R. Precup, Multiple periodic solutions with prescribed minimal period to second-order Hamiltonian systems, Dyn. Syst. 29 (2014), no. 3, 424-438, https://doi.org/10.1080/14689367.2014.911410
  86. A. Novac, R. Precup, Perov type results in gauge spaces and applications to integral systems on semi-axis, Math. Slovaca 64 (2014), 961-972, http://doi.org/10.2478/s12175-014-0251-5
  87. R. Precup, Nash-type equilibria and periodic solutions to nonvariational systems, Adv. Nonlinear Anal., 3 (2014), no. 4,  197-207, https://doi.org/10.1515/anona-2014-0006
  88. O. Bolojan-Nica, G. Infante, R. Precup, Existence results for systems with coupled nonlocal conditions, Nonlinear Anal. 94 (2014), 231-242, https://doi.org/10.1016/j.na.2013.08.019
  89. R. Precup, Critical point localization theorems via Ekeland’s variational principle, Dynamic Systems and Applications 22 (2013), 355-370.
  90. R. Precup, On a bounded critical point theorem of Schechter, Stud. Univ. Babeş-Bolyai Math. 58 (2013) no. 1, 87-95.
  91. R. Precup, M.A. Serban, D. Trif,  Asymptotic stability for a model of cell dynamics after allogeneic bone marrow transplantation, Nonlinear Dynamics and Systems Theory 13 (1) (2013), 79-92.
  92. R. Precup, Abstract weak Harnack inequality, multiple fixed points and p-Laplace equations, J. Fixed Point Theory Appl. 12 (2012), 193-206, https://doi.org/10.1007/s11784-012-0091-2
  93. R. Precup, Moser-Harnack inequality, Krasnoselskii type fixed point theorems in cones and elliptic problems, Topol. Methods Nonlinear Anal. 40 (2012), 301-313.
  94. R. Precup, D. Trif, Multiple positive solutions of non-local initial value problems for first order differential systems, Nonlinear Anal. 75 (2012), 5961-5970, http://doi.org/10.1016/j.na.2012.06.008
  95. R. Precup, Critical point theorems in cones and multiple positive solutions of elliptic problems, Nonlinear Anal. 75 (2012), 834-851, http://doi.org/10.1016/j.na.2011.09.016
  96. R. Precup, Mathematical understanding of the autologous stem cell transplantation, Ann. Tiberiu Popoviciu Semin. Funct. Equ. Approx. Convexity 10 (2012), 155-167.
  97. R. Precup, M.-A. Șerban, D. Trif, A. Cucuianu, A planning algorithm for correction therapies after allogeneic stem cell transplantation, J. Math. Model. Algor. 11 (2012) no. 3, 309-323, https://doi.org/10.1007/s10852-012-9187-3
  98. R. Precup, S. Arghirescu, A. Cucuianu, M. Serban, Mathematical modeling of cell dynamics after allogeneic bone marrow transplantation, Int. J. Biomath. 5 (2012) no. 2, 1250026 (18 pages), https://doi.org/10.1142/S1793524511001684
  99. O. Nica, R. Precup, On the nonlocal initial value problem for first order differential systems, Stud. Univ. Babeş-Bolyai Math. 56 (2011) no. 3, 113-125.
  100. S. Budisan, R. Precup, Positive solutions of functional-differential systems via the vector version of Krasnoselskii’s fixed point theorem in cones, Carpathian J. Math. 27 (2011), 165-172, http://doi.org/10.37193/CJM.2011.02.12
  101. M. Manole, R. Precup, Nonlinear Schrodinger equations via fixed point principles, Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal. 18 (2011), 705-718.
  102. P. Jebelean, R. Precup, Poincare inequalities in reflexive cones, Appl. Math. Letters 24 (2011), 359-363, http://dx.doi.org/10.1016/j.aml.2010.10.024
  103. R. Precup, Two positive nontrivial solutions for a class of semilinear elliptic variational systems, J. Math. Anal. Appl. 373 (2011), 138-146, https://doi.org/10.1016/J.JMAA.2010.06.050
  104. R. Precup, D. Trif, M.-A. Serban, A. Cucuianu, A mathematical approach to cell dynamics before and after allogeneic bone  marrow transplantation, Ann. Tiberiu Popoviciu Semin. Funct. Equ. Approx. Convexity 8 (2010),  167-175.
  105. A. Cucuianu, R. Precup, A hypothetical-mathematical model of acute myeloid leukemia pathogenesis, Comput. Math. Methods Med. 11 (2010), 49-65, https://doi.org/10.1080/17486700902973751
  106. R. Precup, A. Viorel, Existence results for systems of nonlinear evolution inclusions, Fixed Point Theory 11 (2010) no. 2, 337-346.
  107. R. Precup, Two positive solutions of some singular boundary value problems, Anal. Appl. 8 (2010), 305-314, https://doi.org/10.1142/S0219530510001618
  108. P. Jebelean, R. Precup, Solvability of p,q-Laplacian systems with potential boundary conditions, Appl. Anal. 89 (2010), 221-228, https://doi.org/10.1080/00036810902889567
  109. R. Precup, A. Cucuianu, Mathematical models of the leukemic hematopoiesis, Ann. Tiberiu Popoviciu Semin. Funct. Equ. Approx. Convexity 7 (2009), 169-181.
  110. S. Djebali, T. Moussaoui, R. Precup, Fourth-order p-Laplacian nonlinear systems via the vector version of Krasnoselskii’s fixed point theorem, Mediterr. J. Math. 6 (2009) no. 4, 449-463, https://doi.org/10.1007/s00009-009-0017-4
  111. T. Moussaoui, R. Precup, Existence of solutions for second-order differential equations and systems on infinite intervals, Electronic Journal of Differential Equations 2009 (2009) no. 94, 1-13.
  112. A. Chis-Novac, R. Precup,  I.A. Rus, Data dependence of fixed points for non-self generalized contractions, Fixed Point Theory 10 (2009) no.1, 73-87.
  113. R. Precup, Existence, localization and multiplicity results for positive radial solutions of semilinear elliptic systems, J. Math. Anal. Appl. 352 (2009) no. 1, 48-56, https://doi.org/10.1016/j.jmaa.2008.01.097
  114. R. Precup, The role of matrices that are convergent to zero in the study of semilinear operator systems, Math. Comp. Modelling 49 (2009), 703-708, https://doi.org/10.1016/j.mcm.2008.04.006
  115. T. Moussaoui, R. Precup, Existence results for semilinear elliptic boundary value problems via topological methods, Appl. Math. Letters 22 (2009), 126-129,  https://doi.org/10.1016/j.aml.2008.03.002
  116. D. Muzsi, R. Precup, Nonresonance theory for semilinear operator equations under regularity conditions, Annals of the Tiberiu Popoviciu Seminar of Functional Equations, Approximation and Convexity, 6 (2008), 75-89.
  117. T. Moussaoui, R. Precup, Radial solutions for some classes of elliptic boundary value problems, Studia Univ. Babes-Bolyai Math. 53 (2008), no.1, 35-42.
  118. R. Precup, A. Viorel, Existence results for systems of nonlinear evolution equations, Int. J. Pure Appl. Math., 47 (2008) no. 2, 199-206.
  119. T. Moussaoui, R. Precup, Positive solutions for elliptic boundary value problems with a Harnack-like property, Cubo 10 (2008) no. 4, 109-117.
  120. R. Precup, A compression type mountain pass theorem in conical shells, J. Math. Anal. Appl. 338 (2008), 1116-1130, https://doi.org/10.1016/j.jmaa.2007.06.007
  121. D. Muzsi, R. Precup, Nonresonance and existence for systems of nonlinear operator equations, Appl. Anal. 87 (2008), no. 9, 1005-1018, http://dx.doi.org/10.1080/00036810802307553
  122. R.P. Agarwal, D. O’Regan, R. Precup, Domain invariance theorems for contractive type maps, Dynamic Systems Appl. 16 (3) (2007), 579-586.
  123. R. Precup, R.P. Agarwal, D. O’Regan, Nonuniform nonresonance for nonlinear boundary value problems with y′ dependence, Dynamic Systems Appl. 16 (3) (2007), 587-594.
  124. J.-F. Couchouron, R. Precup, Homotopy method for positive solutions of p-Laplace inclusions, Topol. Methods Nonlinear Anal. 30 (2007) no. 1, 157-169.
  125. A. Boucherif, R. Precup, Semilinear evolution equations with nonlocal initial conditions, Dynamic Systems Appl. 16 (2007), 507-516.
  126. R. Precup, A vector version of Krasnoselskii’s fixed point theorem in cones and positive periodic solutions of nonlinear systems, J. Fixed Point Theory Appl., 2 (2007) no. 1, 141-151, http://doi.org/10.1007/s11784-007-0027-4
  127. R. Ma, D. O’Regan, R. Precup, Fixed point theory for admissible pairs and maps in Frechet spaces via degree theory, Fixed Point Theory 8 (2007) no. 2, 273-283.
  128. D. O’Regan, R. Precup, Positive solutions of nonlinear systems with p-Laplacian on finite and semi-infinite intervals,  Positivity 11 (2007) no. 3, 537-548, https://doi.org/10.1007/S11117-007-2099-1
  129. R. Precup, Positive solutions of nonlinear systems via the vector version of Krasnoselskii’s fixed point theorem in cones, Annals of the Tiberiu Popoviciu Seminar of Functional Equations, Approximation and Convexity, 5 (2007), 129-138.
  130. R. Precup, The nonlinear heat equation via fixed point principles, Annals of the Tiberiu Popoviciu Seminar of Functional Equations, Approximation and Convexity, 4 (2006), 111-127.
  131. D. O’Regan, R. Precup, Aronszajn type theorems for integral equations on unbounded domains via maximal solutions, Fixed Point Theory, 4 (2006) no. 2, 305-313.
  132. A. Buica, R. Precup, Note on the abstract generalized quasilinearization method, Rev. Anal. Numer. Theor. Approx., 35 (2006) no. 1, 11-15.
  133. Y. Liu, R. Precup, Positive solutions of nonlinear singular integral equations in ordered Banach spaces, Nonlinear Funct. Anal. Appl. 11 (2006) no. 3, 447-457.
  134. R. Precup, Existence and localization results for semi-linear problems, Annals Univ. Craiova, Math. Comp. Sci. Ser. 32 (2005), 59-66.
  135. R. Precup, Compression-expansion fixed point theorems in two norms, Annals of the Tiberiu Popoviciu Seminar 3 (2005), 157-163.

  136. R.P. Agarwal, D. O’Regan, R. Precup, Boundary value problems arising in the percolation of water from a cylindrical reservoir into the surrounding soil, Nonlinear Analysis: Real World Applications 6 (2005), 123-131, https://doi.org/10.1016/j.nonrwa.2004.02.004

  137. D. O’Regan, R. Precup, Compression-expansion fixed point theorem in two norms and applications,  J. Math. Anal. Appl. 309 (2005), 383-391, https://doi.org/10.1016/j.jmaa.2005.01.043
  138. D. O’Regan, R. Precup, Existence theory for nonlinear operator equations of Hammerstein type in Banach spaces, Dynamic Systems Appl. 14 (2005), 121-134.
  139. R. Precup, Positive solutions of evolution operator equations, Austral. J. Math. Anal. Appl. 2 (2005) no. 1, 1-10.
  140. R.P. Agarwal, D.O. Regan, R. Precup, Construction of upper and lower solutions with applications to singular boundary value problems,  J. Comput. Anal. Appl. 7 (2005), 205-221.
  141. A. Horvat-Marc, R. Precup, Nonnegative solutions of nonlinear integral equations in ordered Banach spaces,  5 (2004), 65-70.
  142. R. Precup, A note on the solvability of the nonlinear wave equation, Rev. Anal. Numér. Théor. Approx. 33 (2004) no. 2, 237-241.
  143. A. Chiș, R. Precup, Continuation theory for general contractions in gauge spaces, Fixed Point Theory and Applications 2004 (2004) no. 3, art. id. 391090, 173-185.
  144. J.-F. Couchouron, R. Precup, Anti-periodic solutions for second order differential inclusions, Electron. J. Differential Equations 2004 (2004), 1-17.
  145. R. Precup, Existence and localization results for the nonlinear wave equation, Fixed Point Theory 5 (2004), 309-321.
  146. R.P. Agarwal, D. O’Regan, R. Precup, Fixed point theory and generalized Leray-Schauder alternatives for approximable maps in topological vector spaces, Topol. Methods Nonlinear Anal. 22, no. 1 (2003), 193-202, https://doi.org/10.12775/TMNA.2003.036
  147. A. Boucherif, R. Precup, On nonlocal initial value problem for first order differential equations, Fixed Point Theory 4 (2003) no. 2, 205-212.
  148. R. Precup, The perturbed Klein-Gordon equation, Annals of the Tiberiu Popoviciu Seminar of Functional Equations, Approximation and Convexity, 1 (2003), 141-152.
  149. D. O’Regan, R. Precup, Continuation theory for contractions on spaces with two vector-valued metrics, Appl. Anal. 82 (2003) no. 2, 131-144, https://doi.org/10.1080/0003681031000063784
  150. J.-F. Couchouron, M. Kamenski, R. Precup,  A nonlinear periodic averanging principle,  Nonlinear Anal. 54 (2003), 1439-1467, https://doi.org/10.1016/S0362-546X(03)00196-2
  151. R.P. Agarwal, M. Meehan, D. O’Regan, R. Precup, Location of nonnegative solutions for differential equations on finite and semi-infinite intervals, Dynamic Systems and Applications 12 (2003), 323-332.
  152. R. Precup, Fixed point theorems for decomposable multi-valued maps and applications, Zeit. Anal. Anwendungen 22 (2003), 843-861, https://doi.org/10.4171/zaa/1176
  153. R. Precup, Some existence results for differential equations with both retarded and advanced arguments, Mathematica (Cluj) 44 (2002). no. 1, 25-31.
  154. R. Precup, Fixed point theorems for acyclic multivalued maps and inclusions of Hammerstein type, Seminar on Fixed Point Theory Cluj-Napoca, 3 (2002), 327-334.
  155. A. Buica, R. Precup, Abstract generalized quasiliniarization method for coincidences, Nonlinear Stud., 9 (2002), 371-387.  [ok]
  156. R. Precup, An inequality which arises in the absence of mountain pass geometry, J. Inequal. Pure Appl. Math. 3 (2002), no.3, 1-10.
  157. D. O’Regan, R. Precup, Integrable solutions of Hammerstein integral inclusions in Banach spaces, Dynamics Cont. Discrete Impuls. Systems, Series A 9 (2002), 165-176.
  158. J.-F. Couchouron, R. Precup, Existence principles for inclusions of Hammerstein type involving noncompact acyclic multivalued maps, Electron. J. Differential Equations. 2002 (2002), no.4, 1-21.
  159. R. Precup, The continuation principle for generalized contractions, Bull. Appl. Comput. Math. (Budapest) 96-C (2001), 367-373.
  160. D. O’Regan, R. Precup, Existence criteria for integral equations in Banach spaces, J. Inequal. Appl. 6 (2001), 77-97, http://dx.doi.org/10.1155/S1025583401000066
  161. R. Precup, Convexity and quadratic monotone approximation in delay differential equations, Rev. Anal. Numér. Théor. Approx. 30 (2001), 89-93.
  162. R. Precup, Continuation results for mappings of contractive type, Seminar on Fixed Point Theory Cluj-Napoca 2 (2001), 23-40.
  163. R. Precup, On the Palais-Smale condition for Hammerstein integral equations in Hilbert spaces, Nonlinear  Anal. 47 (2001), 1233-1244. http://dx.doi.org/10.1016/S0362-546X(01)00261-9
  164. D. O’Regan, R. Precup, Fixed point theorems for set-valued maps and existence principles for integral inclusions, J. Math. Anal. Appl. 245 (2000), 594-612. https://doi.org/10.1006/jmaa.2000.6789
  165. R. Precup, A Monch type generalization of the Eilenberg-Montgomery fixed point theorem, Seminar on Fixed Point Theory Cluj-Napoca, 1 (2000), 69-72.
  166. R. Precup, Discrete continuation methods for boundary value problems on bounded sets in Banach spaces, J. Comput. Appl. Math. 113 (2000), 267-281, https://doi.org/10.1016/S0377-0427(99)00261-7
  167. R. Precup, Discrete continuation method for nonlinear integral equations in Banach spaces, Pure Math. Appl., 11 (2000), 375-384. [kw]
  168. E. Kirr, R. Precup, Periodic solutions of superlinear impulsive differential systems, Commun. Appl. Anal., 3  (1999), 483-502.
  169. R. Precup, Analysis of some neutral delay differential equations, Studia Univ. Babes-Bolyai Math. 44, no.3 (1999), 67-84.
  170. R. Precup, Monotone approximation for an integral equation modeling infectious disease, Bull. Appl. Comput. Math. (Budapest), 86-A (1998), 419-426.
  171. R. Precup, Existence and approximation of positive fixed points of nonexpansive maps, Rev. Anal. Numér. Théor. Approx. 26 (1997) no. 1-2, 203-208.
  172. R. Precup, Existence theorems for nonlinear problems by continuation methods, Nonlinear Anal. 30 (1997), 3313-3322. https://doi.org/10.1016/S0362-546X(96)00333-1
  173. R. Precup, Continuation principles for coincidences, Mathematica (Cluj) 39 (62), no. 1 (1997), 103-110.
  174. R. Precup, Continuation theorems for maps of Caristi type, Studia Univ. Babeş-Bolyai Math. 41 (1996) no. 4, 101-106.
  175. R. Precup, On the continuation principle for nonexpansive maps, Studia Univ. Babeş-Bolyai Math. 41 (1996) no. 3 , 85-89.
  176. R. Precup, Monotone technique to the initial values problem for a delay integral equation from biomathematics, Studia Univ. Babeş-Bolyai Math. 40 (1995) no. 2, 63-73. [kw]
  177. R. Precup, A Granas type approach to some continuation theorems and periodic boundary value problems with impulses, Topological Methods in Nonlinear Analysis, 5 (1995) no. 2, 385-396.
  178. R. Precup, Periodic solutions for an integral equation from biomathematics via Leray-Schauder principle, Studia Univ. Babeş-Bolyai Math. 39 (1994) no. 1, 47-58.
  179. R. Precup, On some fixed point theorems of Deimling, Nonlinear Anal. Theory, Meth. Appl. 23 (1994), 1315-1320. https://doi.org/10.1016/0362-546X(94)90149-X
  180. R. Precup, On the reverse of the Krasnoselskii-Browder boundary inequality, Studia Univ. Babeş-Bolyai Math. 38 (1993) no. 2, 41-55.
  181. R. Precup, On the topological transversality principle, Nonlinear Anal.: Theory, Meth. Appl., 20 (1993), 1-9. https://doi.org/10.1016/0362-546X(93)90181-Q
  182. R. Precup, Note on an abstract continuation theorem, Studia Univ. Babeş-Bolyai Math., 37 (1992) no. 2, 85-90.
  183. R. Precup, Quasiconvex functions of higher order and the behavior of some nonlinear functionals, Anal. Numér. Théor. Approx., 21 (1992) no. 2, pp. 191-193.
  184. R. Precup, Generalized topological transversality and existence theorems, Libertas Math. 11 (1991), 65-79.
  185. R. Precup, Generalized topological transversality and mappings of monotone type, Studia Univ. Babeş-Bolyai Math., 35 (1990) no. 2, 44-50.
  186. R. Precup, Measure of noncompactness and second order differential equations with deviating argument, Studia Univ. Babeş-Bolyai Math., 34 (1989) no. 2, pp. 25-35.
  187. R. Precup, Convex functions of order n and Pn-simple functionals, Anal. Numér. Théor. Approx., 18 (1989) no. 2, pp. 161-170.
  188. R. Precup, Topological transversality, perturbation theorems and second order differential equations, Babeş-Bolyai Univ., Faculty of Math. Phys., Research Sem., Seminar on Differential Equations, 3 (1989), 149-164.
  189. R. Precup, Maximal pseudomonotonicity of generalized subdifferentials of explicitly quasiconvex functions, Anal. Numér. Théor. Approx., 17 (1988) no. 1, pp. 53-62.
  190. R. Precup, A fixed point theorem of Maia type in syntopogeneous spaces, Babeş-Bolyai Univ., Faculty of Math. Phys., Research Sem., Sem. Fixed Point Theory, 3 (1988), 49-70.
  191. R. Precup, On some properties of K-monotone operators, Anal. Numér. Théor. Approx., 16 (1987) no. 1, pp. 69-76.
  192. R. Precup, A K-monotone best approximation operator which is neither monotone and (essentially) nor (O)-monotone, Anal. Numer. Theor. Approx., 15 (1986) no. 2, pp. 153-162.
  193. R. Precup, New estimates of the degree of the comonotone interpolating polynomials, Anal. Numér. Théor. Approx., 15 (1986) no. 1, pp. 65-68.
  194. R. Precup, Piecewise convex interpolation, Anal. Numér. Théor. Approx., 14 (1985) no. 2, pp. 123-126.
  195. R. Precup, Estimates of the degree of comonotone interpolating polynomials, Anal. Numér. Théor. Approx., 11 (1982) nos. 1-2, pp. 139-145.
  196. R. Precup, Interpolating convex polynomials, Anal. Numér. Théor. Approx., 10 (1981) no. 2, pp. 205-209.
  197. R. Precup, Sur l’axiomatique des espaces à convexité, Anal. Numér. Théor. Approx., 9 (1980) no. 2, 95-103. (in French)
  198. R. Precup, Le théorème des contractions dans des espaces syntopogènes, Anal. Numér. Théor. Approx. 9, no. 1 (1980), 113-123. (in French)

Scientific papers in volumes/proceedings:

  1. R. Precup, A variational analogue of Krasnoselskii’s cone fixed point theory, in Nonlinear Analysis and Boundary Value Problems, Eds.: I. Area, A. Cabada, J. Á. Cid, D. Franco, E. Liz, R. López Pouso, R. Rodríguez López, Springer Proceedings in Mathematics & Statistics 292, Springer, 2019, 1-18. http://doi.org/10.1007/978-3-030-26987-6_1
  2. R. Precup, D. Dima, C. Tomuleasa, M-A Serban, L-G Parajdi, Theoretical models of hematopoietic cell dynamics related to bone marrow transplantation, in Frontiers in Stem Cell and Regenerative Medicine Research, vol. 8, Eds.: Atta-ur-Rahman, Shazia Anjum, Bentham Science, Sharjah, UAE, 2018, pp 202-241, https://doi.org/10.2174/97816810858901180801
  3. R. Precup, Compression-expansion critical point theory in conical shells, Nonlinear Analysis and Variational Problems, in P.M. Pardos, Th.M. Rassias, A.A. Khan eds., Springer, New York, 2009, pp 135-146, https://doi.org/10.1007/978-1-4419-0158-3_12
  4. R. Precup, Componentwise compression-expansion conditions for systems of nonlinear operator equations and applications, AIP Conference Proceedings vol. 1124, Mathematical Models in Engineering, Biology and Medicine: International Conference on Boundary Value Problems: Mathematical Models in Engineering, Biology and Medicine, Santiago de Compostela (Spain), 16 -19 September 2008, Eds.: A. Cabada, E. Liz, J.J. Nieto, 284-293, https://doi.org/10.1063/1.3142943
  5. R. Precup, Localization of critical points via mountain pass type theorems, in Critical Point Theory and Its Applications, Proceedings of the International Summer School on Critical Point Theory and Applications Cluj-Napoca, July 9th-July 13th 2007, Cs. Varga, A. Kristaly and P.A. Blaga eds., Casa Cartii de Stiinta, Cluj-Napoca, 2007, 53-67.
  6. R. Precup, The nonlinear heat equation via fixed point principles, Annals of the Tiberiu Popoviciu Seminar of Functional Equations, Approximation and Convexity, 4 (2006), pp. 3-19.
  7. R. Precup, Positive solutions of semi-linear elliptic problems via Krasnoselskii type theorems in cones and Harnack’s inequality, in “Mathematical Analysis ans Applications”, eds. V. Radulescu and C. Niculescu, Amer. Inst. Physics, AIP Conference Proceedings, vol. 835, 2006, 125-132. https://doi.org/10.1063/1.2205042
  8. R. Precup, On the method of upper and lower solutions, Seminaire de la Theorie de la Meilleure Approximation Convexite et Optimisation, Cluj-Napoca, decembre 2002, pp. 141-149.
  9. R. Precup, Inequalities and compactness, In: “Inequalities Theory and Applications”, Y.J. Cho, J.K. Kim, S.S. Dragomir eds., Nova Science Publ., Huntington-New York, 2001, 257-271.
  10. R. Precup, Continuation method for contractive maps on spaces endowed with vector-valued metrics, Seminaire de la Theorie de la Meilleurs Approximation, Convexite et optimisation, Cluj-Napoca, novembre 2001, pp. 113-120.
  11. R. Precup, Nontrivial solvability of Hammerstein integral equations in Hilbert spaces, Seminaire de la Theorie de la Mielleure Approximation Convexite et Optimisation, Cluj-Napoca, 26 octombre – 29 octobre, 2000, pp. 255-265.
  12. R. Precup, Behavior properties and ordinary differential equations, Conference on Analysis, Functional Equations, Approximation and Convexity in Honour of Professor Elena Popoviciu, Cluj-Napoca, October 1999, 257-263.
  13. R. Precup, E. Kirr, Analysis of a nonlinear integral equation modelling infection diseases, In: “Proceedings of the International Conference on Analysis and Numerical Computation, Timişoara, May 19-21, 1997”, Şt. Balint ed., West Univ. of Timişoara, 1997, 178-195.
  14. R. Precup, Monotone iterations for decreasing maps in ordered Banach spaces, In: “Proceedings of the Scientific Communications Meeting of Aurel Vlaicu University, Vol 14A (Arad-1996)”, Aurel Vlaicu Univ. of Arad, 1996, 105-108.
  15. R. Precup, Existence results for nonlinear boundary value problems under nonresonance conditions, In: “Qualitative Problems for Differential Equations and Control Theory”, C. Corduneanu ed., World Sci. Publishing, River Edge, 1995, 263-273.
  16. R. Precup, Foundations of the continuation principles of Leray-Schauder type, In: “Proceedings of the 23rd Conference on Geometry and Topology (Cluj-1993)”, D. Andrica and P. Enghiş eds., Babeş-Bolyai Univ., Cluj, 1994, 136-140.
  17. R. Precup, Positive solutions of the initial value problem for an integral equation modeling infectious disease, Babeş-Bolyai Univ., Faculty of Math. Comp. Sci., Research Sem. 3 (1991), I.A. Rus ed., 25-30.
  18. R. Precup, Topological transversality and boundary problems for second order functional differential equations, In: “Differential Equations and Control Theory”, V. Barbu ed., Pitman Res. Notes Math. Ser., 250, Longman Sci. Tech., Harlow, 1991, 283-288.
  19. R. Precup, Some remarks on Clarke generalized gradient of quasiconvex functions, Babeş-Bolyai Univ., Faculty of Math. Comp. Sci., Research Sem. 6 (1990), Itinerant Seminar on Functional Equations, Approximation and Convexity (Cluj-1990), 197-200.
  20. R. Precup, On the quasiconvex functions of higher order, Babeş-Bolyai Univ., Faculty of Math. Phys., Research Sem. 6 (1989), Itinerant Seminar on Functional Equations, Approximation and Convexity (Cluj-1989), 275-282.
  21. R. Precup, Topological transversality and applications, Proceedings of NCGT, Timișoara, Romania, October 5-7, 1989, pp. 193-197.
  22. R. Precup, Nonlinear boundary value problems for infinite systems of second-order functional differential equations, Babeş-Bolyai Univ., Faculty of Math. Phys., Research Sem. 8 (1988), 17-30.
  23. R. Precup, Fonctions convexes et fonctionnelles de forme simple, Babeş-Bolyai Univ., Faculty of Math. Phys., Research Sem. 6 (1988), Itinerant Seminar on Functional Equations, Approximation and Convexity (Cluj-1988), 269-274.
  24. R. Precup, Quasiconvexity, generalized subdifferential and pseudomonotone mappings, Babeş-Bolyai Univ., Faculty of Math. Phys., Research Sem. 6 (1987), Itinerant Seminar on Functional Equations, Approximation and Convexity (Cluj-1987), 261-272. MR: 90c:47069.
  25. R. Precup, Sur une théorie de l’allure et ses conséquences, Babeş-Bolyai Univ., Faculty of Math. Phys., Research Sem. 6 (1987), Itinerant Seminar on Functional Equations, Approximation and Convexity (Cluj-1987), 31-48.
  26. R. Precup, Monotonicity properties of the best approximation operators, Babeş-Bolyai Univ., Faculty of Math., Research Sem. 7 (1986), Itinerant Seminar on Functional Equations, Approximation and Convexity (Cluj-1986), 223-226.
  27. R. Precup, A mean theorem concerning the behaviour of some nonlinear functionals, Seminarul Itinerant de Ecuaţii Funcţionale, Aproximare şi Convexitate, Iaşi, 1985, 18-25.
  28. R. Precup, Quasi-convexity in linear spaces, Babeş-Bolyai Univ., Faculty of Math., Research Sem. 6 (1985), Itinerant Seminar on Functional Equations, Approximation and Convexity (Cluj-1985), 159-164.
  29. R. Precup, Sur une notion de quasi-convexité dans des espaces abstraits, Babeş-Bolyai Univ., Faculty of Math., Research Sem. 6 (1984), Itinerant Seminar on Functional Equations, Approximation and Convexity (Cluj-1984), 143-150.
  30. R. Precup, The iterates of the H. Brass operators, Facultatea de Matematică, Cluj-Napoca, Ședință de comunicări 16 aprilie 1984, pp. 27-28.
  31. R. Precup, A dual proof for the linearization of the convexity spaces, Babeş-Bolyai Univ., Faculty of Math., Research Sem. 2 (1983), Itinerant Seminar on Functional Equations, Approximation and Convexity (Cluj-1983), 119-128.
  32. R. Precup, On a Popoviciu-Korovkin type theorem, Seminarul itinerant de ecuații funcționale, aproximare și convexitate, Timișoara, 7-8 noiembrie 1980, pp. 149-153 (in Romanian).

Book chapters/courses

Other works

Conferences attended:

  • NATO Advanced Study Institute, 33rd session: Topological Methods in Differential Equations and Inclusions, July 11-22, 1994, Montreal, Canada (special talk);
  • International Congress of Mathematicians, August 3-11, 1994, Zürich, Switzerland;
  • Second World Congress of Nonlinear Analysts, July 10-17, 1996, Athens, Greece (invited talk);
  • 4ème Colloque franco-roumain, 31 août-4 septembre, 1998, Metz, France (plenary invited talk);
  • 3rd Hungarian-Romanian Joint Conference on Mathematics and Computer Science, June 6-12, 1999, Visegrád, Hungary;
  • Third World Congress of Nonlinear Analysts, July 19-26, 2000, Catania, Italy (invited talk);
  • 5ème Colloque franco-roumain, 28 août-1er septembre, 2000, Constanţa;
  • International Conference on Nonlinear Operators, Differential Equations and Applications, September 12-15, 2001, Cluj-Napoca;
  • 5th Hungarian-Romanian Joint Conference on Mathematics and Computer Science, June 9-12, 2004, Debrecen, Hungary;
  • International Conference on Nonlinear Operators, Differential Equations and Applications, August 24-27, 2004, Cluj–Napoca;
  • 7ème Colloque franco-roumain, 30 août-3 septembre, 2004, Craiova (plenary invited lecture);
  • International Conference on Mathematical Analysis and Applications, September 23-24, 2005, Craiova (invited talk);
  • International Conference on Nonlinear Operators, Differential Equations and Applications, July 4-8, 2007, Cluj-Napoca;
  • 7th Hungarian-Romanian Joint Conf. Math. Comput. Sc., July 3-6, 2008, Cluj-Napoca (plenary invited lecture);
  • International Conference on Boundary Value Problems, September 16-19, 2008, Santiago de Compostela, Spain (invited talk);
  • Romanian-German Symposium on Mathematics and Its Applications, May 14-17, 2009, Sibiu;
  • 10ème Colloque Franco-Roumain de Mathématiques Appliquées, 26-31 août, 2010, Poitiers, France;
  • International Conference on Nonlinear Operators, Differential Equations and Applications, July 5-8, 2011, Cluj-Napoca;
  • International Conference on Fixed Point Theory and Its Applications (ICFPTA-2012), July 9-15, 2012, Cluj-Napoca;
  • Summer School “Analytical and Computer Assisted Methods in Mathematical Models”, September 9-23, 2012, Freudenstadt, Germany (lectures);
  • International Workshop on Fixed Point Theory and Applications, October 11-13, 2012, Istanbul, Turkey;
  • Workshop: Positive Solutions to Differential Equations, May 6-10, 2013, Torun, Poland (invited talks);
  • Academic Days of Timisoara, Workshop on Geometry and PDEs, May 23-24, 2013,Timisoara;
  • Faculty of Science, University of Sfax, June 19-26, 2013, Sfax, Tunisia;
  • Anatolian Communications in Nonlinear Analysis, July 3-6, 2013, Bolu, Turkey (invited talk);
  • Summer School “Analytical and Computer Assisted Methods in Mathematical Models”, September 1-15, 2013, Hojduszoboszlo, Hungary (lectures);
  • Dipartimento di Matematica e Informatica, Universita degli Studi di Perugia, February 12, 2014Perugia, Italy;
  • Workshop: Lectures in Nonlinear Analysis and Differential Equations, March 24-28, 2014, Cosenza, Italy (invited lectures);
  • Workshop in Geometry and PDEs, June 6-7, 2014, Timisoara (invited talk);
  • Minisymposium on Fixed Point Theory and Applications, June 1-7, 2014, Baia-Mare (invited talk);
  • Workshop in Geometry and PDEs, May 29-31, 2015, Timisoara (invited talk);
  • The Eighth Congress of Romanian Mathematicians, June 26-July 1, 2015, Iasi;
  • International Conference on Nonlinear Operators, Differential Equations and Applications, July 14-17, 2015, Cluj-Napoca;
  • Symposium on Nolinear Analysis SNA2015, September 14-18, 2015, Torun, Poland (invited talk);
  • Scientific Conference UR & US’15, October 9-10, 2015, Ruse, Bulgaria (invited talk);
  • Workshop in Geometry and PDEs, June 10-11, 2016, Timisoara (keynote speaker);
  • Workshop of Geometry and PDEs, June 13-14, 2017, Timisoara (keynote speaker);
  • Scientific Conference UR & US’16, October, 2017, Ruse, Bulgaria (invited talk);
  • International Symposium “Research and Education in an Innovation Era”, May 17-20, 2018, Arad (invited speaker);
  • International Conference on Mathematics and Computer Science, June 14-16, 2018, Brasov;
  • International Conference on Nonlinear Analysis and Boundary Value Problems, September 4-7, 2018, Santiago de Compostela, Spain (main speaker);
  • Workshop of Geometry and PDEs, October 12-13, 2018, Timisoara.56;
  • International Symposium “Research and Education in an Innovation Era”, 8th Edition, Arad, 23-25 May, 2019 (invited speaker);
  • Workshop on Analysis, PDEs and Mechanics, Bucharest 30 May 2019;
  • Italian-Romanian Colloquium of Differential Equations and Applications, Udine, 10-12 April, 2019 (invited speaker);
  • Fixed Point Theory, Graph Theory and Optimization: Foundations and Integrative Approaches, Dhahran, Saudi Arabia, 18-19 December, 2019 (invited speaker);
  • Zilele Academice Clujene 2021, 28 octombrie 2021;
  • Analysis seminar, West Virginia University, Morgantown, 17 November 2021;
  • Current Trends in Applied Mathematics, Iasi, 20 November 2021;
  • Workshop: Geometric Function Theory in Several Complex Variables and Complex Banach Spaces, Cluj-Napoca, 1-3 December 2021.

IOD (institution organizing the PhD/instituţia organizatoare de doctorat): “Babeş-Bolyai” University
discipline: Mathematics
field: applied nonlinear analysis; nonlinear differential equations; mathematical models using partial differential equations; mathematical modeling in medicine.

2022
PhD students (2022):

  1. Andrei Stan (Nash type equilibria for systems of nonlinear equations);
  2. Alexandru Hofman (Control problems for systems of Kolmogorov type);
  3. Alexandru Orzan (Parametric methods for problems of fractional optimization);
  4. David Brumar (The analysis of some mathematical models in fluid dynamics).

Coordination of doc and postdoc students (2022): Nataliia Kolun (Ukraine), Sylvain Koumla (Chad, 2 months).
Mentor in some research projects: Lorand Parajdi, Nataliia Kolun.

Editorial activity

JCR/ISI journals abroad

JCR/ISI journals from Romania

Journals of the Romanian Academy

Other journals from abroad

Other journals from Romania