Ukrainian Mathematical Journal

, Volume 53, Issue 8, pp 1266–1289 | Cite as

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

  • N. A. Perestyuk
  • A. M. Samoilenko
  • A. N. Stanzhitskii


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.


Differential Equation Nonlinear System Periodic Solution Fixed Time Small Pulse 
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Copyright information

© Plenum Publishing Corporation 2001

Authors and Affiliations

  • N. A. Perestyuk
    • 1
  • A. M. Samoilenko
    • 2
  • A. N. Stanzhitskii
    • 1
  1. 1.Kiev UniversityKiev
  2. 2.Institute of MathematicsUkrainian Academy of SciencesKiev

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