2017
Том 69
№ 7

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On the second Bogolyubov theorem for systems with random perturbations

Stanzhitskii A. N.

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Abstract

For systems of differential equations with random right-hand sides, we establish conditions for the existence of periodic solutions in the neighborhoods of equilibrium points of the averaged system.

English version (Springer): Ukrainian Mathematical Journal 46 (1994), no. 8, pp 1215-1221.

Citation Example: Stanzhitskii A. N. On the second Bogolyubov theorem for systems with random perturbations // Ukr. Mat. Zh. - 1994. - 46, № 8. - pp. 1104–1109.

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