文献类型：期刊文献

英文题名：On neutral impulsive stochastic integro-differential equations with infinite delays via fractional operators

作者：Lin, Aihong[2];Ren, Yong[1];Xia, Ningmao[2]

机构：[1]Anhui Normal Univ, Dept Math, Wuhu 241000, Peoples R China;[2]E China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China

年份：2010

卷号：51

期号：5-6

起止页码：413

外文期刊名：MATHEMATICAL AND COMPUTER MODELLING

收录：;EI(收录号：20100312640034);WOS:【SCI-EXPANDED(收录号:WOS:000273664800009)】；

语种：英文

外文关键词：Stochastic integro-differential equation; Neutral equation; Impulsive equation; Analytic resolvent

摘要：We study the existence of mild solutions for a class of neutral impulsive stochastic integro-differential equations with infinite delays. We assume that the undelayed part generates an analytic resolvent operator and transform it into an integral equation. Sufficient conditions for the existence of solutions are derived by means of the Sadovskii fixed point theorem combined with theories of analytic resolvent operators. An example is given to illustrate the theory. (C) 2009 Elsevier Ltd. All rights reserved.