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

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...

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Veröffentlicht in:	Journal of applied and industrial mathematics 2019-07, Vol.13 (3), p.447-459
Hauptverfasser:	Demidenko, G. V., Uvarova, I. A., Khazova, Yu. A.
Format:	Artikel
Sprache:	eng
Schlagworte:	Delay Differential equations Mathematics Mathematics and Statistics Ordinary differential equations
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description	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.
doi_str_mv	10.1134/S1990478919030062
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subjects	Delay Differential equations Mathematics Mathematics and Statistics Ordinary differential equations
title	On One System of Ordinary Differential Equations of Large Dimension and a Delay Equation
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