On a Singular Cauchy Problem for Functional Differential Equations with Non-Increasing Non-Linearities-Reference-Cited by-同舟云学术

On a Singular Cauchy Problem for Functional Differential Equations with Non-Increasing Non-Linearities

Published:2010 Issue:2 Volume:53 Page:277-289
ISSN:0532-8721
Container-title:Funkcialaj Ekvacioj
language:en
Short-container-title:FE

Author:

Pylypenko V.¹,Rontó A.²

Affiliation:

1. National University of Ukraine

2. Academy of Sciences of the Czech Republic

Publisher

Division of Functional Equations, The Mathematical Society of Japan (JST)

Subject

Geometry and Topology,Algebra and Number Theory,Analysis

Link

http://www.jstage.jst.go.jp/article/fesi/53/2/53_2_277/_pdf

Reference15 articles.

1. [1] Agarwal, R. P. and Rontó, A., Linear functional differential equations possessing solutions with a given growth rate, J. Inequal. Appl., 2005 (2005), 49-65.

2. [2] Azbelev, N. V., Maksimov, V. P. and Rakhmatullina, L. F., Introduction to the theory of functional differential equations: methods and applications, Contemporary Mathematics and Its Applications, 3, Hindawi Publishing Corporation, Cairo, 2007.

3. [3] Dilna, N. Z. and Ronto, A. N., General conditions for the unique solvability of an initial-value problem for nonlinear functional-differential equations, Ukrainian Math. J., 60 (2008), 191-198.

4. [4] Dilna, N. Z. and Ronto, A. N., Some new conditions for the solvability of the Cauchy problem for systems of linear functional-differential equations, Ukrainian Math. J., 56 (2004), 1033-1053.

5. [5] Heikkilä, S. and Lakshmikantham, V., Monotone iterative techniques for discontinuous nonlinear differential equations, Monographs and Textbooks in Pure and Applied Mathematics, 181, New York: Marcel Dekker Inc., 1994.

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