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Square-mean almost periodic solutions nonautonomous stochastic differential equations. (English) Zbl 1138.60323

Summary: This paper concerns the square-mean almost periodic solutions to a class of nonautonomous stochastic differential equations on a separable real Hilbert space. Using the so-called “Acquistapace-Terreni” conditions, we establish the existence and uniqueness of a square-mean almost periodic mild solution to those nonautonomous stochastic differential equations.

MSC:

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