Abstract
We prove a theorem on the existence of periodic solutions of a system of differential equations with random right-hand sides and small parameter of the form dx/dt=εX(t, x, ξ(t)) in a neighborhood of the equilibrium state of the averaged deterministic system dx/dt=εX 0(t).
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Deceased.
Kiev State University, Kiev. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 49, No. 2, pp. 223–227, February, 1997.
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Martynyuk, D.I., Danilov, V.Y. & Stanzhitskii, A.N. Periodic solutions of systems of differential equations with random right-hand sides. Ukr Math J 49, 247–252 (1997). https://doi.org/10.1007/BF02486439
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DOI: https://doi.org/10.1007/BF02486439