Makhno S. Ya.
Ukr. Mat. Zh. - 1996. - 48, № 5. - pp. 650-655
We prove the law of iterated logarithm for solutions of stochastic differential equations with perturbed periodic coefficients.
Ukr. Mat. Zh. - 1995. - 47, № 2. - pp. 236–241
We prove theorems on the behavior of solutions of stochastic equations with periodic coefficients and integral functionals of these solutions as time infinitely increases.
Ukr. Mat. Zh. - 1993. - 45, № 11. - pp. 1534–1541
The relationship between the $G$-convergence of parabolic operators and the weak convergence of solutions of diffusion equations is established. Constructive conditions are obtained for determining coefficients of a $G$-limiting operator.
Ukr. Mat. Zh. - 1992. - 44, № 2. - pp. 284–289
For stochastic diffusion equations with coefficients depending on a parameter, necessary and sufficient conditions of the weak convergence of solutions to the solution of a stochastic diffusion equation are obtained.