Remarks on the existence and uniqueness of the solutions to stochastic functional differential equations with infinite delay

  • Authors:

  • Yong Ren;Shiping Lu;Ningmao Xia

  • Affiliations:

  • Department of Mathematics, Anhui Normal University, Wuhu 241000, PR China;Department of Mathematics, Anhui Normal University, Wuhu 241000, PR China;Department of Mathematics, East China University of Science and Technology, Shanghai 200237, PR China

  • Venue:
  • Journal of Computational and Applied Mathematics
  • Year:
  • 2008

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Abstract

In this paper, we obtain some results on the existence and uniqueness of solutions to stochastic functional differential equations with infinite delay at phase space BC((-~,0];R^d) which denotes the family of bounded continuous R^d-value functions @f defined on (-~,0] with norm @?@f@?=sup"-"~"