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

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Ukrainian Mathematical Journal Aims and scope

Abstract

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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Authors and Affiliations

  1. Kiev University, Kiev

    N. A. Perestyuk & A. N. Stanzhitskii

  2. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    A. M. Samoilenko

Authors
  1. N. A. Perestyuk
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  2. A. M. Samoilenko
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  3. A. N. Stanzhitskii
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Perestyuk, N.A., Samoilenko, A.M. & Stanzhitskii, A.N. On the Existence of Periodic Solutions for Certain Classes of Systems of Differential Equations with Random Pulse Influence. Ukrainian Mathematical Journal 53, 1266–1289 (2001). https://doi.org/10.1023/A:1013399610965

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  • DOI: https://doi.org/10.1023/A:1013399610965

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