On the second Bogolyubov theorem for systems with random perturbations
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.
Full text