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Doubly perturbed neutral stochastic functional equations

Citation

Hu, L and Ren, Yong, Doubly perturbed neutral stochastic functional equations, Journal of Computational and Applied Mathematics, 231, (1) pp. 319-326. ISSN 0377-0427 (2009) [Refereed Article]


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Copyright Statement

The definitive version is available at http://www.sciencedirect.com Copyright 2009 Elsevier B.V. All rights reserved.

Official URL: http://www.sciencedirect.com

DOI: doi:10.1016/j.cam.2009.02.077

Abstract

In this paper, we prove the existence and uniqueness of the solution to a class of doubly perturbed neutral stochastic functional equations (DPNSFEs in short) under some non-Lipschitz conditions. The solution is constructed by successive approximation. Furthermore, we give the continuous dependence of the solution on the initial value by means of the corollary of Bihari inequality.

Item Details

Item Type:Refereed Article
Keywords:neutral stochastic functional equations, double perturbation, successive approximation
Research Division:Mathematical Sciences
Research Group:Pure Mathematics
Research Field:Partial Differential Equations
Objective Division:Expanding Knowledge
Objective Group:Expanding Knowledge
Objective Field:Expanding Knowledge in the Mathematical Sciences
Author:Ren, Yong (Dr Yong Ren)
ID Code:57602
Year Published:2009
Web of Science® Times Cited:5
Deposited By:Mathematics
Deposited On:2009-07-29
Last Modified:2012-11-29
Downloads:0

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