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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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