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On the diffusion approximation of the slow component of the solution of a system of stochastic differential equations. (Russian) Zbl 0712.60061

Sufficient conditions are given allowing the convergence in mean square to the diffusion of the slow component of a system of stochastic differential equations. A theorem is proved involving accurate estimates.
Reviewer: C.Vârsan

MSC:

60H10 Stochastic ordinary differential equations (aspects of stochastic analysis)