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Pseudo Almost Automorphic Solutions for Non-autonomous Stochastic Differential Equations with Exponential Dichotomy
Authors:Du Jin-shi  Sun Kai  Wang Yan  Li Yong
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.
Keywords:pseudo almost automorphy  exponential dichotomy  non-autonomous stochastic differential equation
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