2018
Том 70
№ 12

Всі номери

Коломиєць Ю. В.

Публікацій: 1
Стаття (українською)

Усреднение случайно возмущенных эволюционных уравнений

Коломиєць Ю. В.

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Укр. мат. журн. - 1993. - 45, № 7. - С. 963–971

Evolutionary equations with the coefficients perturbed by diffusion process are considered. It is proved that the solutions of the equations weakly converge, in the sense of distributions, as a small parameter tends to zero, to a unique solution of the martingale problem which corresponds to the evolutionary stochastic equation in the case where the powers of the small parameter are disjoint.