Pseudo Almost Automorphic Solutions for Non-Autonomous Stochastic Differential Equations with Exponential Dichotomy

Abstract

In this paper, we consider the existence and uniqueness of the solutions which are pseudo almost automorphic in distribution for a class of non-autonomous stochastic differential equations in a Hilbert space. In conclusion, we use the Banach contraction mapping principle and exponential dichotomy property to obtain our main results.