Siberian Mathematical Journal

, Volume 46, Issue 3, pp 417–430

On Differential Equations with Retarded Argument

Authors

  • G. V. Demidenko
    • Sobolev Institute of Mathematics
  • V. A. Likhoshvai
    • Institute of Cytology and Genetics
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
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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
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Copyright information

© Springer Science+Business Media, Inc. 2005