On One System of Ordinary Differential Equations of Large Dimension and a Delay Equation
- 作者: Demidenko G.V.1,2, Uvarova I.A.1,2, Khazova Y.A.3
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隶属关系:
- Sobolev Institute of Mathematics
- Novosibirsk State University
- V. I.Vernadsky Crimean Federal University
- 期: 卷 13, 编号 3 (2019)
- 页面: 447-459
- 栏目: Article
- URL: https://journals.rcsi.science/1990-4789/article/view/213218
- DOI: https://doi.org/10.1134/S1990478919030062
- ID: 213218
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详细
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.
作者简介
G. Demidenko
Sobolev Institute of Mathematics; Novosibirsk State University
编辑信件的主要联系方式.
Email: demidenk@math.nsc.ru
俄罗斯联邦, pr. Akad. Koptyuga 4, Novosibirsk, 630090; ul. Pirogova 1, Novosibirsk, 630090
I. Uvarova
Sobolev Institute of Mathematics; Novosibirsk State University
编辑信件的主要联系方式.
Email: sibirochka@ngs.ru
俄罗斯联邦, pr. Akad. Koptyuga 4, Novosibirsk, 630090; ul. Pirogova 1, Novosibirsk, 630090
Yu. Khazova
V. I.Vernadsky Crimean Federal University
编辑信件的主要联系方式.
Email: hazova.yuliya@hotmail.com
俄罗斯联邦, pr. Akad. Vernadskogo 4, Simferopol’, 295007
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