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JOURNALS // Siberian Journal of Pure and Applied Mathematics // Archive

Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 2014 Volume 14, Issue 2, Pages 88–97 (Mi vngu339)

On Properties of Solutions to a System of Ordinary Differential Equations of Higher Dimension

I. A. Uvarova

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk

Abstract: In the paper we consider a class of systems of nonlinear differential equations of higher dimension. We study some properties of solutions and prove that, for sufficiently large number of equations in the system, the last component of the solution can be approximated by a solution to a delay differential equation.

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

UDC: 517.925.5+517.929

Received: 11.11.2013


 English version:
Journal of Mathematical Sciences, 2015, 211:6, 902–909


© Steklov Math. Inst. of RAS, 2026