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.


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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