Global Attracting Sets of Neutral Stochastic Functional Differential Equations Driven by Poisson Jumps

Qiaoqiao Xie; Bin Yang; Zhi Li

doi:10.4208/jpde.v34.n2.1

Global Attracting Sets of Neutral Stochastic Functional Differential Equations Driven by Poisson Jumps

Authors

Qiaoqiao Xie College of Education and Sports Sciences, Yangtze University, Jingzhou 434023, China
Bin Yang College of Education and Sports Sciences, Yangtze University, Jingzhou 434023, China
Zhi Li School of Information and Mathematics, Yangtze University, Jingzhou 434023, China

DOI:

https://doi.org/10.4208/jpde.v34.n2.1

Keywords:

Global attracting set, mild solution, Banach fixed point principle, Poisson jumps.

Abstract

By means of the Banach fixed point principle, we establish some sufficient conditions ensuring the existence of the global attracting sets and the exponential decay in the mean square of mild solutions for a class of neutral stochastic functional differential equations by Poisson jumps. An example is presented to illustrate the effectiveness of the obtained result.

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Published

2021-05-28

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Issue

Vol. 34 No. 2 (2021)

Section

Articles

License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

How to Cite

Global Attracting Sets of Neutral Stochastic Functional Differential Equations Driven by Poisson Jumps. (2021). Journal of Partial Differential Equations, 34(2), 103-115. https://doi.org/10.4208/jpde.v34.n2.1