SQUARE-MEAN ALMOST PERIODIC SOLUTIONS NONAUTONOMOUS STOCHASTIC DIFFERENTIAL EQUATIONS

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.