On One System of Ordinary Differential Equations of Large Dimension and a Delay Equation

被引：1

作者：

Demidenko G.V. ^{[1
,2
]}

Uvarova I.A. ^{[1
,2
]}

Khazova Y.A. ^{[3
]}

机构：

[1] Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk

[2] Novosibirsk State University, ul. Pirogova 1, Novosibirsk

[3] V. I.Vernadsky Crimean Federal University, pr. Akad. Vernadskogo 4, Simferopol’

来源：

Journal of Applied and Industrial Mathematics | 2019年 / 13卷 / 03期

基金：

俄罗斯基础研究基金会;

关键词：

approximation estimate; delay equation; global limit theorem; system of ordinary differential equations of high dimension;

D O I：

10.1134/S1990478919030062

中图分类号：

学科分类号：

摘要：

We consider some system of ordinary differential equations modeling a multistage synthesis of a substance. We prove the global limit theorems that establish connections between the solutions to a system of ordinary differential equations of large dimension and the solutions to a delay equation. The obtained results enable us to find the approximate solutions to the systems under consideration of an arbitrarily high dimension on the whole half-axis. Some approximation estimates are established. © 2019, Pleiades Publishing, Ltd.

引用

页码：447 / 459

页数：12

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