The Existence, Uniqueness, and Measurability of a Stopped Semilinear Integral Equation

Authors: Hamideh D. Hamedani ^a; Bijan Z. Zangeneh ^b

Affiliations:	^a Department of Statistics, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran, Iran
	^b Faculty of Mathematical Sciences, Sharif University of Technology, Tehran, Iran

DOI: 10.1080/07362990701282419

Publication Frequency: 6 issues per year

Published in: journal

Stochastic Analysis and Applications, Volume 25, Issue 3 May 2007 , pages 493 - 518

Subjects: Statistics & Probability; Stochastic Models & Processes;

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Abstract

In this article, we prove the existence, uniqueness, and measurability of the solution for the following stopped semimonotone nonlinear integral equation $LSAA_A_228146_O_XML_IMAGES\LSAA_A_228146_O_UM0001.gif$

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We also improve the previous results under weaker assumptions.

Keywords: Existence and uniqueness; Measurability; Monotone nonlinearity; Semilinear evolution equation; Stopped integral equation

Mathematics Subject Classification: 60H15; 35R60; 35RXX

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The Existence, Uniqueness, and Measurability of a Stopped Semilinear Integral Equation

Abstract