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

作     者：Du Jin-shi Sun Kai Wang Yan Li Yong 

作者机构：School of Mathematics Jilin University 

出 版 物：《Communications in Mathematical Research》 (数学研究通讯（英文版）)

年 卷 期：2014年第30卷第2期

页      面：139-156页

核心收录：

学科分类：02[经济学] 0202[经济学-应用经济学] 020208[经济学-统计学] 07[理学] 070104[理学-应用数学] 0714[理学-统计学（可授理学、经济学学位）] 070103[理学-概率论与数理统计] 0701[理学-数学] 

基　　金：The Undergraduate Research Training Program Grant(J1030101) the NSF(11271151)of China 

主　　题：pseudo almost automorphy exponential dichotomy non-autonomousstochastic differential equation 

摘      要：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.