TY - JOUR T1 - Pseudo Almost Automorphic Solutions for Non-Autonomous Stochastic Differential Equations with Exponential Dichotomy AU - Du , Jinshi AU - Sun , Kai AU - Wang , Yan JO - Communications in Mathematical Research VL - 2 SP - 139 EP - 156 PY - 2021 DA - 2021/05 SN - 30 DO - http://doi.org/10.13447/j.1674-5647.2014.02.05 UR - https://global-sci.org/intro/article_detail/cmr/18978.html KW - pseudo almost automorphy, exponential dichotomy, non-autonomous stochastic differential equation. AB -

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.