A class of systems of ordinary differential equations of large dimension


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Resumo

We consider the Cauchy problem for a class of systems of ordinary differential equations of large dimension.We prove that, for sufficiently large number of equations, the last component of a solution to the Cauchy problem is an approximate solution to the initial value problem for a delay differential equation. Estimates of the approximation are obtained.

Sobre autores

G. Demidenko

Sobolev Institute of Mathematics; Novosibirsk State University

Autor responsável pela correspondência
Email: demidenk@math.nsc.ru
Rússia, pr. Akad. Koptyuga 4, Novosibirsk, 630090; ul. Pirogova 2, Novosibirsk, 630090

I. Uvarova

Sobolev Institute of Mathematics

Email: demidenk@math.nsc.ru
Rússia, pr. Akad. Koptyuga 4, Novosibirsk, 630090

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