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 - <p style="text-align: justify;">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.</p>