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Estimates for the Rate of Convergence in Ordinary Differential Equations under the Action of Random Processes with Fast Time

We study the procedure of averaging in the Cauchy problem for an ordinary differential equation perturbed by a certain Markov ergodic process. We establish several estimates for the rate of convergence of solutions of the original problem to solutions of the averaged one.

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Bibliographic Details
Date:	2005
Main Authors:	Bondarev, B. V., Kovtun, E. E., Бондарев, Б. В., Ковтун, Е. Е.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 2005
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/3611
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal

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