Siberian Mathematical Journal

, Volume 46, Issue 3, pp 417–430

On Differential Equations with Retarded Argument

  • G. V. Demidenko
  • V. A. Likhoshvai
Article

DOI: 10.1007/s11202-005-0045-7

Cite this article as:
Demidenko, G.V. & Likhoshvai, V.A. Sib Math J (2005) 46: 417. doi:10.1007/s11202-005-0045-7

Abstract

We study the limit properties of solutions to one class of systems of differential equations as the number of equations and some parameters tend to infinity. We establish a close connection between solutions to these systems and differential equations with retarded argument. Our convergence theorems provide a new method for approximation of solutions to nonlinear differential equations with retarded argument.

Keywords

systems with infinitely many ordinary differential equationsdifferential equation with retarded argument

Copyright information

© Springer Science+Business Media, Inc. 2005

Authors and Affiliations

  • G. V. Demidenko
    • 1
  • V. A. Likhoshvai
    • 2
  1. 1.Sobolev Institute of MathematicsNovosibirskRussia
  2. 2.Institute of Cytology and GeneticsNovosibirskRussia