Diana Otrocol
- dotrocol [at] ictp.acad.ro
diana.otrocol [at] gmail.com
Academic degree:
Ph.D. in Mathematics (2006)
Current position:
Scientific researcher III at Tiberiu Popoviciu Institute of Numerical Analysis
Domains of research:
- Nonlinear operators and differential equations
- Approximation techniques of the solutions of the delay differential equations
- The study of convergence of iterations of positive and linear operators
(version of September 17, 2020)
Personal Data
| Date and place of birth | March 1975, Sibiu |
| Civil status | Married |
| dotrocol[at]ictp.acad.ro, diana.otrocol[at]gmail.com |
Education and degrees:
| 2006 | Ph.D. in Numerical Analysis Babeş-Bolyai University, Cluj-Napoca Thesis: Contributions to the theory of Lotka-Voltera systems with retarted argument Scientific advisor: prof. dr. Petru Blaga |
| 2001-2002 | Master Studies at Faculty of Mathematics and Computer Science, “Lucian Blaga” University, Sibiu; |
| 1993-1997 | Faculty of Mathematics and Computer Science, “Babeş-Bolyai” University, section Mathematics, Cluj-Napoca; |
| 1989-1993 | High-school “Gheorghe Lazăr”, Sibiu, section mathematics-physics; |
Employment history:
| 2011 – present | scientific researcher III at Tiberiu Popoviciu Institute of Numerical Analysis (ICTP), Romanian Academy |
| 2008 – 2011 | scientific researcher at ICTP |
| 2006 – 2008 | research assistant at ICTP |
| 2002 – 2006 | PhD student, Faculty of Mathematics and Computer Science, “Babeş-Bolyai” University, Cluj-Napoca, Romania |
| 1997 – 2002 | high school teacher |
Teaching Experience
- Seminars and laboratories taught at the ”Babeş-Bolyai” University Cluj-Napoca (differential equations and dynamical systems, numerical analysis, probabilities, statistics) 2002-2006.
Book
- D. Otrocol, Lotka-Volterra Systems with delays, Editura Presa Universitara Clujeana, 2007 (in Romanian), ISBN 978-973-610-589-0.
Conferences and workshops:
- ”Integral equations with maxima”, Academic Days of Cluj-Napoca, June 5-6, 2014, Cluj-Napoca, Romania.
- (with V.A. Ilea), ”On a functional-integral equation, via Picard operators technique”, Theodor Angheluta Seminar, The Fourteenth International Conference on Applied Mathematics and Computer Science, August 29-31, 2013, Cluj-Napoca, Romania.
- (with V.A. Ilea), ”Qualitative properties of functional differential systems”, 9th International Conference on Applied Mathematics (ICAM9), September 25-28, 2013, Baia Mare, Romania.
- (with V.A. Ilea), ”On a D.V. Ionescu’s problem for functional-differential equations of second order”, Fixed Point Theory and its Applications, 10th edition of ICFPTA, July 9-15, 2012, Cluj-Napoca, Romania.
- ”On the asymptotic equivalence of a differential system with maxima”, Fixed Point Theory and its Applications, 10th edition of ICFPTA, July 9-15, 2012, Cluj-Napoca, Romania.
- ”The properties of a solutions of a differential system with maxima”, Academic Days of Cluj-Napoca, Simpozion “Metode numerice si aproximare”, May 22-25, 2012, Cluj-Napoca, Romania.
- (with V.A. Ilea), “An iterative method for a functional-differential equation of second order with mixed type argument”, International Conference on Nonlinear Operators, Differential Equations and Applications (ICNODEA 2011), July 5-8, 2011, Cluj-Napoca, Romania.
- (with V.A. Ilea, M.A. Serban, D. Trif), ”Step method for some integral equations”, 13th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC 2011), September 26-29, 2011, Timisoara, Romania.
- ”A differential equation with delay from biology”, International Conference on Nonlinear Operators, Differential Equations and Applications, July 4-8, 2006, Cluj-Napoca.
- ”Data dependence of the fixed points set for a Lotka-Volterra system”, International Conference on Numerical Analysis and Approximation Theory (NAAT 2006), July 5-8, 2006, Cluj-Napoca, Romania.
- ”Numerical solutions of Lotka-Volterra system with delay by spline functions of even degree”, International Congress of Mathematiciens (ICM 2006), August 22-30, 2006, Madrid.
- ”Differentiability with respect to delays for a Lotka-Volterra system”, International Conference on Applied Mathematics, September 21-24, 2006, Baia-Mare, Romania.
- ”Differentiability with respect to parameters of a differential system with delay”, Academic Days of Cluj-Napoca, June 26-July 14, 2006, Cluj-Napoca, Romania.
- ”A numerical method approximating the solution of a Lotka-Volterra system with two delays”, International Conference on Nonlinear Operators, Differential Equations and Applications, August 24-27, 2004, Cluj-Napoca, Romania.
Papers
- V. Ilea, D. Otrocol, Integral equation with maxima via fibre contraction principle, Journal Fixed Point Theory, 25 (2024) 2, pp. 601-610, http://doi.org/10.24193/fpt-ro.2024.2.10
- G. Motronea, D. Otrocol, I. Rasa, Perov’s theorem applied to systems of equations, Modern Mathematical Methods, 1 (2023) no. 1, pp. 22-29.
- A. Novac, D. Otrocol, D. Popa, On Ulam stability of a partial differential operator in Banach spaces, Mathematics, 11 (2023) no. 11, art. no. 2488, https://doi.org/10.3390/math11112488
- 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
- V. Ilea, D. Otrocol, I.A. Rus, M.-A. Serban, Applications of fibre contraction principle to some classes of functional integral equations, Fixed Point Theory, 23 (2022) no. 1, 279-292, http://doi.org/10.24193/fpt-ro.2022.1.18
- V. Ilea, D. Otrocol, On a Volterra integral equation with delay, via w-distances, Mathematics 9 (2021), art. id. 2341, 8 pp., https://doi.org/10.3390/math9182341
- V. Ilea, D. Otrocol, Functional differential equations with maxima, via step by step contraction principle, Carpathian J. Math., 37 (2021) no. 2, pp. 195-202, DOI: 10.37193/CJM.2021.02.05
- A. Novac, D. Otrocol, D. Popa, Ulam stability of a linear difference equation in locally convex spaces, Results Math., 76, 33 (2021). https://doi.org/10.1007/s00025-021-01344-2
- A.M. Acu, A. Maduta, D. Otrocol, I. Raşa, Inequalities for information potentials and entropies, Mathematics 2020, 8(11), 2056; https://doi.org/10.3390/math8112056, IF: 1.747
- 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), doi: 10.1016/j.amc.2020.125092
- V. Ilea, D. Otrocol, Existence and uniqueness of the solution for an integral equation with supremum, via w-distances, Symmetry 2020, 12, 1554, https://doi.org/10.3390/sym12091554
- V. Ilea, D. Otrocol, On the Burton method of progressive contractions for Volterra integral equations, Fixed Point Theory, 21 (2020) no. 2, 585-594.
- T. Cătinaș, D. Otrocol, Iterates of Cheney-Sharma type operators on a triangle with curved side, J. Comp. Anal. Appl., 28 (2020) no. 4, pp. 737-744.
- A. Aral, D. Otrocol, I. Raşa, On approximation by some Bernstein–Kantorovich exponential-type polynomials, Periodica Mathematica Hungarica, 79 (2019) 2, pp. 236-254.
- A. Măduța, D. Otrocol, I. Rașa, Inequalities for indices of coincidence and entropies, Arxiv:1910.13491, 2019.
- D. Otrocol, Qualitative properties of solutions for mixed type functional-differential equations with maxima, Miskolc Mathematical Notes, 20 (2019) no. 2, pp. 1119-1128
- D. Otrocol, M.A. Serban, An efficient step method for a system of differential equations with delay, J. Appl. Anal. Comput. 8 (2018) no. 2, pp. 498-508.
- B.C. Dhage, D. Otrocol, Dhage iteration method for approximating solutions of nonlinear differential equations with maxima, Fixed Point Theory, 19 (2018) no. 2, pp. 545-556.
- V. Ilea, D. Otrocol, Some properties of solutions to a planar system of nonlinear differential equations, Studia Univ. Babes-Bolyai Math., 63 (2018) no. 2, pp. 225-234.
- D. Otrocol, V. Ilea, On the qualitative properties of functional integral equations with abstract Volterra operators, Res. Fixed Point Theory Appl., vol. 2018 (2018), Article ID 201813, 08
pp. - V.A. Ilea, D. Otrocol, An application of the Picard operator technique to functional integral equations, J. Nonlinear Convex Anal., 18 (2017) no. 3, pp. 405-413.
- D. Otrocol, Hybrid differential equations with maxima via Picard operators theory, Stud. Univ. Babes-Bolyai Math. 61 (2016), no. 4, 421-428.
- D. Otrocol, On the asymptotic equivalence of a differential system with maxima, Rend. Circ. Mat. Palermo, Ser. 2, 65 (2016) no 3, pp. 387-393.
- T. Catinas, D. Otrocol, I.A. Rus, The iterates of positive linear operators with the set of constant functions as the fixed point set, Carpathian J. Math., 32 (2016) no. 2, pp. 165-172.
- V. Ilea, D. Otrocol, I. A. Rus, Some properties of solutions of the homogeneous nonlinear second order differential equations, Mathematica, 57 (80) (2015), no 1-2, pp. 38-43
- D. Otrocol, V. Ilea, C. Revnic, Addendum to the paper “an iterative method for a functional-differential equation of second order with mixed type argument“, Fixed Point Theory, 14(2013) no. 2, 427-434, Fixed Point Theory, 16 (2015) no. 1, pp. 191-192.
- V.A. Ilea, D. Otrocol, Some properties of solutions of a functional-differential equation of second order with delay, The Scientific World Journal, Volume 2014 (2014), Article ID 878395
- D. Otrocol, V.A. Ilea, Qualitative properties of functional differential equation, Electron. J. Qual. Theory Differ. Equ., 2014, No. 47, 1-8.
- D. Otrocol, Systems of functional-differential equations with maxima, of mixed type, Electron. J. Qual. Theory Differ. Equ., 2014, No. 5, 1-9.
- T. Cătinaş, D. Otrocol, Iterates of multivariate Cheney-Sharma operators, Journal of Computational Analysis and Applications,15 (2013) no. 7, 1240-1246.
- D. Otrocol, V.A. Ilea, Ulam stability for a delay differential equation, Central European Journal of Mathematics, 11 (2013) no. 7, 1296-1303.
- D. Otrocol, V.A. Ilea, C. Revnic, An iterative method for a functional-differential equation of second order with mixed type argument, Fixed Point Theory, 14 (2013), no.2, 427-434.
- T. Cătinaş, D. Otrocol, Iterates of Bernstein type operators on a square with one curved side via contraction principle, Fixed Point Theory, vol. 14 (2013) no.1, 97-106.
- D. Otrocol, Properties of the solutions of a system of differential equations with maxima, via weakly Picard operator theory, Communications in Applied Analysis, 17 (2013), no.1, 99-108.
- V. Ilea, D. Otrocol, M.-A. Şerban, D. Trif, Integro-differential equation with two time lags, Fixed Point Theory, 13 (2012), no. 1, pp. 85-97 (pdf file alsohere).
- V.A. Ilea, D. Otrocol, On a D.V. Ionescu’s problem for functional-differential equations of second order, Proceedings of the 10th IC-FPTA, 131 – 142, July 9-18, 2012, Cluj-Napoca, Romania (pdf file here).
- V. Ilea, D. Otrocol, Integro-differential equation with two times modifications, Carpathian Journal of Math. 27 (2011), no. 2, pp.209-216 (pdf file here).
- D. Otrocol, Ulam stabilities of differential equation with abstract Volterra operator in a Banach space, Nonlinear Functional Analysis and Applications, 15, 2010, no. 4, pp. 613-619 (pdf file here).
- D. Otrocol, V. Ilea C. Revnic, An iterative method for a functional-differential equation with mixed type argument, Fixed Point Theory, vol. 11 (2010) no. 2, 327-336 (pdf file also here).
- V.A. Ilea, D. Otrocol, On a D.V. Ionescu’s problem for functional-differential equations, Fixed Point Theory 10 (2009), no. 1, 125-140 (pdf file also here).
- D. Otrocol, I.A. Rus, Functional-differential equations with “maxima” via weakly Picard operators theory, Bull. Math. Soc. Sci. Math. Roumanie, 51(99) 2008, no. 3, 253-261 (pdf file also here).
- D. Otrocol, I.A. Rus, Functional-differential equations with maxima of mixed type, Fixed Point Theory 9 (2008), no. 1, 207-220 (pdf file here).
- D. Otrocol, A differential equation with delay from biology, J. Appl. Math. & Informatics Vol. 26(2008), no. 5-6, pp. 1037 – 1048 (pdf file here).
- Ş. M. Şoltuz, D. Otrocol, Classical results via Mann-Ishikawa iteration, Rev. Anal. Numér. Théor. Approx., 36 (2007), no. 2, 195-199 (pdf file also here).
- Ş. M. Şoltuz, D. Otrocol, The convergence of Mann iteration with delay, Mathematical Sciences Research, 2007, Vol. 11, no. 3, pp. 390-393 (pdf file here).
- D. Otrocol, Differentiability with respect to delays for a Lotka-Volterra system, Creative Math. and Inf., 2007, Vol. 16, pp. 36-41 (tech. rep. here).
- D. Otrocol, Smooth dependence on paramters for a differential equation with delay from population dynamics, 2007 International Conference on Engineering and Mathematics, Bilbao, July 9-11, 2007, pp. 3-10.
- D. Otrocol, Data dependence of the fixed points set for a Lotka-Volterra system, Proceedings of the International Conference on Numerical Analysis and Approximation Theory, Cluj-Napoca, Romania, July 5-8, 331-336, 2006 (pdf file here).
- D. Otrocol, Differentiability with respect to a parameter for a Lotka-Volterra system with delays, via step method, Rev. Anal. Numér. Théor. Approx., 35 (2006), no. 1, 83-86 (pdf file here).
- D. Otrocol, Iterative functional-differential system with retarded argument, Rev. Anal. Numér. Théor. Approx., 35 (2006), no. 2, 147-160 (pdf file alsohere).
- D. Otrocol, Numerical solutions of Lotka-Volterra system with delay by spline functions of even degree, Studia Univ. Babeş-Bolyai, Mathematica, Vol 51, no. 4, 167-180, 2006 (pdf file here).
- D. Otrocol, Data dependence for the solution of a Lotka-Volterra system with two delays, Mathematica, Tome 48(71), No. 1 (2006), 61-68 (pdf file here).
- D. Otrocol, Smooth dependence on parameters for some Lotka-Volterra system with delays, Analele Universităţii din Timişoara, Seria Matematică-Informatică, Vol. XLIII, fasc. 1, 2005, 109-114 (pdf file also here).
- D. Otrocol, A numerical method approximating the solution of a Lotka-Volterra system with two delays, Studia Univ. Babeş-Bolyai, Mathematica, Vol L. No.1, 2005, 99-110(pdf file here).
- D. Otrocol, Lotka-Volterra system with two delays, via weakly Picard operators, Nonlinear Analysis Forum, 10 (2), pp. 193-199, 2005 (pdf file here).