文献类型：期刊文献

英文题名：Existence, uniqueness and stability of the solutions to neutral stochastic functional differential equations with infinite delay

作者：Ren, Yong[1];Xia, Ningmao[2]

机构：[1]Univ Tasmania, Sch Math & Phys, Hobart, Tas 7001, Australia;[2]E China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China

年份：2009

卷号：210

期号：1

起止页码：72

外文期刊名：APPLIED MATHEMATICS AND COMPUTATION

收录：;EI(收录号：20091111954929);WOS:【SCI-EXPANDED(收录号:WOS:000264065700009)】；

基金：The authors wish to thank the anonymous referees for their kind comments, correcting errors and improving written language. The first author is a postdoctoral research fellow of University of Tasmania and he would like to thank the Australian Research Council for funding this project through Discovery Project DP0770388 and University of Tasmania, in particular, Dr. Malgorzata O'Reilly for providing stimulating working environment. And the work is partially supported by NNSF of China (no. 10726075), Anhui Provincial Natural Science Foundation and NSF of Anhui Educational Bureau (KJ2008B243).

语种：英文

外文关键词：Neutral stochastic functional differential equations; Infinite delay; Picard approximation

摘要：In this paper, we obtain the existence and uniqueness of solutions to neutral stochastic functional differential equations with infinite delay at phase space BC((-infinity, 0]; R-d) which denotes the family of bounded continuous R-d-value functions phi defined on (-infinity, 0] with norm parallel to phi parallel to = sup(-infinity