2017
Том 69
№ 9

All Issues

Periodic solutions of systems of differential equations with random right-hand sides

Danilov V. Ya., Martynyuk D. I., Stanzhitskii A. N.

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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/dtX 0(t).

English version (Springer): Ukrainian Mathematical Journal 49 (1997), no. 2, pp 247-252.

Citation Example: Danilov V. Ya., Martynyuk D. I., Stanzhitskii A. N. Periodic solutions of systems of differential equations with random right-hand sides // Ukr. Mat. Zh. - 1997. - 49, № 2. - pp. 223–227.

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