2017
Том 69
№ 5

All Issues

On asymptotic equivalence of solutions of stochastic and ordinary equations

Novak I. H., Samoilenko A. M., Stanzhitskii A. N.

Full text (.pdf)


Abstract

For a weakly nonlinear stochastic system, we construct a system of ordinary differential equations the behavior of solutions of which at infinity is similar to the behavior of solutions of the original stochastic system.

English version (Springer): Ukrainian Mathematical Journal 63 (2011), no. 8, pp 1268-1297.

Citation Example: Novak I. H., Samoilenko A. M., Stanzhitskii A. N. On asymptotic equivalence of solutions of stochastic and ordinary equations // Ukr. Mat. Zh. - 2011. - 63, № 8. - pp. 1103-1127.

Full text