G. V. Demidenko, I. A. Mel'nik, “On a method of approximation of solutions to delay differential equations”, Sibirsk. Mat. Zh., 2010, Volume 51, Number 3,Pages <nobr>528

This article is cited in 16 papers

On a method of approximation of solutions to delay differential equations

G. V. Demidenko^ab, I. A. Mel'nik^ab

^a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
^b Novosibirsk State University, Mechanics and Mathematics Department, Novosibirsk

Abstract: Connections between solutions to a class of systems of ordinary differential equations of a large dimension and delay equations are studied. A new method is justified for approximation of solutions to delay equations.

Keywords: delay equation, limit theorems, generalized solution, Stirling inequality, Haar functions.

UDC: 517.925.5+517.929

Received: 05.03.2010