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

In this paper, we obtain the existence and uniqueness of solutions to neutral 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 φ defined on ( - ∞ , 0 ] with norm ‖ φ ‖ = sup -...

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Bibliographic Details
Published in:	Applied mathematics and computation Vol. 210; no. 1; pp. 72 - 79
Main Authors:	Ren, Yong, Xia, Ningmao
Format:	Journal Article
Language:	English
Published:	Amsterdam Elsevier Inc 01.04.2009 Elsevier
Subjects:	Calculus of variations and optimal control Exact sciences and technology Infinite delay Mathematical analysis Mathematics Neutral stochastic functional differential equations Numerical analysis Numerical analysis. Scientific computation Numerical methods in probability and statistics Picard approximation Real functions Sciences and techniques of general use Neutral stochastic functional differential equations Picard approximation Infinite delay Differential equation Existence of solution Continuous function Neutral stochastic functional differential equations Successive approximation Numerical analysis Neutral equation Applied mathematics Integral equation Numerical stability Stochastic equation
ISSN:	0096-3003, 1873-5649
Online Access:	Get full text
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