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Volume 34, Issue 2
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

J. Part. Diff. Eq., 34 (2021), pp. 103-115.

Published online: 2021-05

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  • 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.

  • Keywords

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

  • AMS Subject Headings

60H15, 60G15, 60H05

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

1697980935@qq.com (Qiaoqiao Xie)

royjztc@163.com (Bin Yang)

lizhi_csu@126.com (Zhi Li)

  • BibTex
  • RIS
  • TXT
@Article{JPDE-34-103, author = {Xie , QiaoqiaoYang , Bin and Li , Zhi}, title = {Global Attracting Sets of Neutral Stochastic Functional Differential Equations Driven by Poisson Jumps}, journal = {Journal of Partial Differential Equations}, year = {2021}, volume = {34}, number = {2}, pages = {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.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v34.n2.1}, url = {http://global-sci.org/intro/article_detail/jpde/19182.html} }
TY - JOUR T1 - Global Attracting Sets of Neutral Stochastic Functional Differential Equations Driven by Poisson Jumps AU - Xie , Qiaoqiao AU - Yang , Bin AU - Li , Zhi JO - Journal of Partial Differential Equations VL - 2 SP - 103 EP - 115 PY - 2021 DA - 2021/05 SN - 34 DO - http://doi.org/10.4208/jpde.v34.n2.1 UR - https://global-sci.org/intro/article_detail/jpde/19182.html KW - Global attracting set, mild solution, Banach fixed point principle, Poisson jumps. AB -

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.

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