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

G. V. Demidenko, I. A. Uvarova, Yu A. Khazova

Результат исследования: Научные публикации в периодических изданияхстатья

Аннотация

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.

Язык оригиналаанглийский
Страницы (с-по)447-459
Число страниц13
ЖурналJournal of Applied and Industrial Mathematics
Том13
Номер выпуска3
DOI
СостояниеОпубликовано - 1 июл 2019

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