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Volume 30, Issue 2
Pseudo Almost Automorphic Solutions for Non-Autonomous Stochastic Differential Equations with Exponential Dichotomy

Jinshi Du, Kai Sun & Yan Wang

DOI: 10.13447/j.1674-5647.2014.02.05

Commun. Math. Res., 30 (2014), pp. 139-156.

Published online: 2021-05

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  • 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.

  • AMS Subject Headings

60H25, 34C27, 34F05, 34G20

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CMR-30-139, author = {Du , JinshiSun , Kai and Wang , Yan}, title = {Pseudo Almost Automorphic Solutions for Non-Autonomous Stochastic Differential Equations with Exponential Dichotomy}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {30}, number = {2}, pages = {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.

}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2014.02.05}, url = {http://global-sci.org/intro/article_detail/cmr/18978.html} }
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.

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