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Existence of Solution of Nonlinear Neutral Stochastic Differential Inclusions with Infinite Delay 

Authors: Yong Li a; Bing Liu a
Affiliation:   a Department of Mathematics, Huazhong University of Science and Technology, Hubei, P.R. China
DOI: 10.1080/07362990601139610
Publication Frequency: 6 issues per year
Published in: journal Stochastic Analysis and Applications, Volume 25, Issue 2 March 2007 , pages 397 - 415
Formats available: HTML (English) : PDF (English)
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Abstract

This article is concerned with the existence of solution of nonlinear neutral stochastic differential inclusions with infinite delay in a Hilbert Space. Sufficient conditions for the existence are obtained by using a fixed point theorem for condensing maps due to Martelli.
Keywords: Convex multivalued map; Infinite delay; Mild solution; Neutral stochastic differential inclusions
2000 Mathematics Subject Classification: 35R10; 60H10
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