Averaging of randomly perturbed evolutionary equations
Evolutionary equations with coefficients perturbed by diffusion processes are considered. It is proved that the solutions of these equations converge weakly in distribution, as a small parameter tends to zero, to a unique solution of a martingale problem that corresponds to an evolutionary stochastic equation in the case where the powers of a small parameter are inconsistent.
English version (Springer): Ukrainian Mathematical Journal 45 (1993), no. 7, pp 1066-1076.
Citation Example: Kolomiets Yu. V. Averaging of randomly perturbed evolutionary equations // Ukr. Mat. Zh. - 1993. - 45, № 7. - pp. 963–971.