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  • 标题:Asymptotic stability of neutral stochastic functional integro-differential equations with impulses
  • 本地全文:下载
  • 作者:Diop, Mamadou Abdoul ; Caraballo, Tomàs
  • 期刊名称:Electronic Communications in Probability
  • 印刷版ISSN:1083-589X
  • 出版年度:2015
  • 卷号:20
  • 期号:0
  • 页码:1-13
  • DOI:10.1214/ECP.v19-3036
  • 语种:English
  • 出版社:Electronic Communications in Probability
  • 摘要:This paper is concerned with the existence and asymptotic stability in the \,$p$-th moment ofmild solutions of nonlinear impulsive stochastic delay neutral partial functional integro-differential equations. We suppose that the linear part possesses a resolvent operator in the sense given by Grimmer and the nonlinear terms are assumed to be Lipschitz continuous. A fixed point approach is used to achieve the required result. An example is provided to illustrate the theory developed in this work.
  • 关键词:Resolvent operators, $C_0$-semigroup, impulsive stochastic neutral partial functional integro-differential equations, Wiener process, mild solution, asymptotic stability.;93E15; 34K50; 60H15.
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