Global attracting sets and stability of neutral stochastic functional differential equations driven by Rosenblatt process

被引：0
作者：
Zhi Li
Litan Yan
Xianghui Zhou
机构：
[1] Donghua University,College of Information Science and Technology
[2] Yangtze University,School of Information and Mathematics
来源：
Frontiers of Mathematics in China | 2018年 / 13卷
关键词：
Global attracting sets; exponential ; -th moment stability; Rosenblatt process; 60H15;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We are concerned with a class of neutral stochastic partial differential equations driven by Rosenblatt process in a Hilbert space. By combining some stochastic analysis techniques, tools from semigroup theory, and stochastic integral inequalities, we identify the global attracting sets of this kind of equations. Especially, some sufficient conditions ensuring the exponent p-stability of mild solutions to the stochastic systems under investigation are obtained. Last, an example is given to illustrate the theory in the work.
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页码：87 / 105
页数：18
相关论文
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