2019
Том 71
№ 11

# Makhno S. Ya.

Articles: 4
Article (Russian)

### The law of iterated logarithm for solutions of stochastic differential equations

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.

Article (Russian)

### Limit theorems for solutions of stochastic equations with 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.

Article (Ukrainian)

### $G$-convergence of parabolic operators and weak convergence of solutions of diffusion equations

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.

Brief Communications (Russian)

### Convergence of diffusion processes

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.