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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Datum:2005
Hauptverfasser: Bondarev, B. V., Kovtun, E. E., Бондарев, Б. В., Ковтун, Е. Е.
Format: Artikel
Sprache:Russisch
Englisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2005
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/3611
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal