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Pseudo almost periodic solutions of some stochastic differential equations. (English) Zbl 1019.60058

Summary: We prove the existence of an almost periodic (in distribution) solution to the affine Itô equations and delay stochastic equations with additive noise under the exponential dichotomy assumption of the linear part.

MSC:

60H10 Stochastic ordinary differential equations (aspects of stochastic analysis)
34K50 Stochastic functional-differential equations
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