G. V. Demidenko, V. A. Likhoshvai, “On differential equations with retarded argument”, Sibirsk. Mat. Zh., 2005, Volume 46, Number 3,Pages <nobr>538

This article is cited in 30 papers

On differential equations with retarded argument

G. V. Demidenko^a, V. A. Likhoshvai^b

^a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
^b Institute of cytology and genetics Siberian Branch of the Russian Academy of Sciences

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 equations, differential equation with retarded argument.

UDC: 517.91, 517.929

Received: 16.02.2005