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

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

Year:    2021

Author:    Qiaoqiao Xie, Bin Yang, Zhi Li

Journal of Partial Differential Equations, Vol. 34 (2021), Iss. 2 : pp. 103–115

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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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

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

Journal of Partial Differential Equations, Vol. 34 (2021), Iss. 2 : pp. 103–115

Published online:    2021-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    13

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

Author Details

Qiaoqiao Xie

Bin Yang

Zhi Li