Pseudo Almost Automorphic Solutions for Non-Autonomous Stochastic Differential Equations with Exponential Dichotomy
Year: 2014
Author: Jinshi Du, Kai Sun, Yan Wang
Communications in Mathematical Research , Vol. 30 (2014), Iss. 2 : pp. 139–156
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.13447/j.1674-5647.2014.02.05
Communications in Mathematical Research , Vol. 30 (2014), Iss. 2 : pp. 139–156
Published online: 2014-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 18
Keywords: pseudo almost automorphy exponential dichotomy non-autonomous stochastic differential equation.