On the Existence of Periodic Solutions for Certain Classes of Systems of Differential Equations with Random Pulse Influence

We establish conditions for the existence of periodic solutions for systems of differential equations with random right-hand side and random pulse influence at fixed times. We consider the case of small pulse perturbation and weakly nonlinear systems.

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Bibliographic Details
Date:2001
Main Authors: Perestyuk, N. A., Samoilenko, A. M., Перестюк, Н. А., Самойленко, А. М.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 2001
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/4327
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Summary:We establish conditions for the existence of periodic solutions for systems of differential equations with random right-hand side and random pulse influence at fixed times. We consider the case of small pulse perturbation and weakly nonlinear systems.