This article is cited in 3 papers

On a system of nonlinear differential equations of higher dimension

I. A. Uvarova<sup>ab

a</sup> Sobolev Institute of Mathematics SB RAS, 4 Koptyug av., 630090 Novosibirsk
^b Novosibirsk State University, 2 Pirogova st., 630090 Novosibirsk

Abstract: We consider a Cauchy problem for a system of nonlinear differential equations of higher dimension. We prove that for a sufficiently large number of differential equations, the last component of the solution to the Cauchy problem is an approximate solution to the initial value problem for a delay differential equation.

Keywords: system of nonlinear ordinary differential equations of higher dimension, limit theorem, delay differential equation.

UDC: 517.925.5+517.929

Received: 22.07.2014

 English version: Journal of Applied and Industrial Mathematics, 2014, 8:4, 594–603

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