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.
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页码：447 / 459
页数：12
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