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  • 标题:Asymptotic behavior for neutral stochastic partial differential equations with infinite delays
  • 本地全文:下载
  • 作者:Cui, Jing ; Yan, Litan
  • 期刊名称:Electronic Communications in Probability
  • 印刷版ISSN:1083-589X
  • 出版年度:2013
  • 卷号:18
  • 页码:1-12
  • DOI:10.1214/ECP.v18-2858
  • 语种:English
  • 出版社:Electronic Communications in Probability
  • 摘要:This paper is concerned with the existence and asymptotic behavior of mild solutions to a class of non-linear neutral stochastic partial differential equations with infinite delays. By applying fixed point principle, we present sufficient conditions to ensure that the mild solutions are exponentially stable in $p$th-moment ($p\geq 2$) and almost surely exponentially stable. An example is provided to illustrate the effectiveness of the proposed result.
  • 关键词:Neutral stochastic partial differential equations; exponential stability; infinite delay;93E15; 34K50; 60H15
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