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


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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.

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G. Demidenko

Sobolev Institute of Mathematics; Novosibirsk State University

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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

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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

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Email: hazova.yuliya@hotmail.com
俄罗斯联邦, pr. Akad. Vernadskogo 4, Simferopol’, 295007

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