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

Authors

  • Jinshi Du
  • Kai Sun
  • Yan Wang

DOI:

https://doi.org/10.13447/j.1674-5647.2014.02.05

Keywords:

pseudo almost automorphy, exponential dichotomy, non-autonomous stochastic differential equation.

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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Published

2021-05-17

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Issue

Vol. 30 No. 2 (2014)

Section

Articles

How to Cite

Pseudo Almost Automorphic Solutions for Non-Autonomous Stochastic Differential Equations with Exponential Dichotomy. (2021). Communications in Mathematical Research, 30(2), 139-156. https://doi.org/10.13447/j.1674-5647.2014.02.05