Abstract:

The author discussed the squaremean almost automorphic  solutions to a class of nonautonomous stochastic differential equations on a separable real Hilbert space. Under socalled “AcquistapaceTerreni” conditions,  the existence and uniqueness of  squaremean almost automorphic solutions to those nonautonomous stochastic differential equations were established.

Key words: stochastic differential equation, Yosida approximation, squaremean almost automorphic solution