Iterative functional-differential system with retarded argument


  • Diana Otrocol Tiberiu Popoviciu, Institute of Numerical Analysis, Romanian Academy, Romania



iterative functional-differential equation, weakly Picard operator, delay, data dependence
Abstract views: 226


Existence, uniqueness and data dependence results of solution to the Cauchy problem for iterative functional-differential system with delays are obtained using weakly Picard operator theory.


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Coman, Gh., Pavel, G., Rus, I., Rus, I. A., Introducere în teoria ecuaţiilor operatoriale, Editura Dacia, Cluj-Napoca, 1976.

Hale, J., Theory of functional Differential Equations, Springer-Verlag, Berlin, 1977. DOI:

Mureşan, V., Functional-Integral Equations, Editura Mediamira, Cluj-Napoca, 2003.

Kuang, Y., Delay differential equations with applications to population dynamics, Academic Press, Boston, 1993, DOI:

Otrocol, D., Data dependence for the solution of a Lotka-Volterra system with two delays, Mathematica, Tome 48 (71), no. 1, pp. 61-68, 2006.

Otrocol, D., Smooth dependence on parameters for some Lotka-Volterra system with delays (to appear).

Rus, I. A., Principii şi aplicaţii ale teoriei punctului fix, Editura Dacia, Cluj-Napoca, 1979.

Rus, I. A., Weakly Picard mappings, Comment. Math. Univ. Caroline, 34, pp. 769-773, 1993.

Rus, I. A., Functional-differential equation of mixed type, via weakly Picard operators, Seminar of Fixed Point Theory, Cluj-Napoca, 3, pp. 335-346, 2002.

Rus, I. A. and Egri, E., Boundary value problems for iterative functional-differential equations, Studia Univ. "Babeş-Bolyai", Matematica, 51 (2) pp. 109-126, 2006.

Si, J. G., Li, W. R. and Cheng, S. S., Analytic solution of on iterative functional-differential equation, Comput. Math. Appl., 33 (6), pp. 47-51, 1997, DOI:

Stanek, S., Global properties of decreasing solutions of equation x′(t)=x(x(t))+x(t), Funct. Diff. Eq., 4 (1-2), pp. 191-213, 1997.

Şerban, M. A., Fiber ϕ-contractions, Studia Univ. "Babeş-Bolyai", Mathematica, 44 (3), pp. 99-108, 1999.




How to Cite

Otrocol, D. (2006). Iterative functional-differential system with retarded argument. Rev. Anal. Numér. Théor. Approx., 35(2), 147–160.