Existence of Solutions of General Nonlinear Stochastic Volterra Fredholm Integral Equations

Authors: K. Balachandran ^a; K. Sumathy ^a; H. H. Kuo ^b

Affiliations:	^a Department of Mathematics, Bharathiar University, Coimbatore, India
	^b Department of Mathematics, Lousiana State University, Baton Rouge, Louisiana, USA

DOI: 10.1081/SAP-200064487

Publication Frequency: 6 issues per year

Published in: journal

Stochastic Analysis and Applications, Volume 23, Issue 4 July 2005 , pages 827 - 851

Subjects: Statistics & Probability; Stochastic Models & Processes;

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Abstract

In this paper, we establish a set of sufficient conditions for the existence of solutions of nonlinear Volterra-Fredholm stochastic integral equations by using the notion of measure of noncompactness and the Darbo fixed point theorem.

Keywords: Darbo theorem; Existence of solution; Stochastic integral equations; Volterra-Fredholm type

Mathematics Subject Classification: 60H20

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Existence of Solutions of General Nonlinear Stochastic Volterra Fredholm Integral Equations

Abstract