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Existence of square-mean almost periodic mild solutions to some nonautonomous stochastic second-order differential equations. (English) Zbl 1203.34089

Summary: We use the well-known Schauder fixed point principle to obtain the existence of square-mean almost periodic solutions to some classes of nonautonomous second order stochastic differential equations on a Hilbert space.

MSC:

34G20 Nonlinear differential equations in abstract spaces
34K14 Almost and pseudo-almost periodic solutions to functional-differential equations
60H10 Stochastic ordinary differential equations (aspects of stochastic analysis)
34F05 Ordinary differential equations and systems with randomness
34C27 Almost and pseudo-almost periodic solutions to ordinary differential equations
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