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Journal of Applied Mathematics and Computing
Published in: Journal of Applied Mathematics and Computing 1-2/2014

01-10-2014 | Original Research

On the existence of integrable solutions for a nonlinear quadratic integral equation

Authors: Azzeddine Bellour, Donal O’Regan, Mohamed-Aziz Taoudi

Published in: Journal of Applied Mathematics and Computing | Issue 1-2/2014

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Abstract

In this paper, we investigate the existence of integrable solution to a nonlinear integral equation, which includes many important integral and functional equations that arise in nonlinear analysis and its applications. Our results are obtained under rather general assumptions. In particular, the solvability of the well known Chandrasekhar equation is discussed under appropriate assumptions. Our analysis uses the technique of measures of weak noncompactness and rely on a variant of Schauder’s fixed point theorem.
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Metadata
Title
On the existence of integrable solutions for a nonlinear quadratic integral equation
Authors
Azzeddine Bellour
Donal O’Regan
Mohamed-Aziz Taoudi
Publication date
01-10-2014
Publisher
Springer Berlin Heidelberg
Published in
Journal of Applied Mathematics and Computing / Issue 1-2/2014
Print ISSN: 1598-5865
Electronic ISSN: 1865-2085
DOI
https://doi.org/10.1007/s12190-013-0737-2

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