Solvability of functional quadratic integral equations with perturbation

Solvability of functional quadratic integral equations with perturbation

We study the existence of solutions of the functional quadratic integral equation with a perturbation term in the space of Lebesgue integrable functions on an unbounded interval by using the Krasnoselskii fixed point theory and the measure of weak noncompactness.

Bibliographic Details
Main Author: Mohamed M. A. Metwali
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2013-01-01
Series:Opuscula Mathematica
Subjects:
quadratic integral equation
measure of noncompactness
Krasnoselskii fixed point theorem
superposition operators
Online Access:http://www.opuscula.agh.edu.pl/vol33/4/art/opuscula_math_3342.pdf
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spelling doaj-5ef5d0d850bd443e9b34cc4845f2f6a72020-11-24T22:54:29ZengAGH Univeristy of Science and Technology PressOpuscula Mathematica1232-92742013-01-01334725739http://dx.doi.org/10.7494/OpMath.2013.33.4.7253342Solvability of functional quadratic integral equations with perturbationMohamed M. A. Metwali0Faculty of Mathematics and Computer Science, A. Mickiewicz University, Umultowska 87, 61-614 Poznan, PolandWe study the existence of solutions of the functional quadratic integral equation with a perturbation term in the space of Lebesgue integrable functions on an unbounded interval by using the Krasnoselskii fixed point theory and the measure of weak noncompactness.http://www.opuscula.agh.edu.pl/vol33/4/art/opuscula_math_3342.pdfquadratic integral equationmeasure of noncompactnessKrasnoselskii fixed point theoremsuperposition operators
collection DOAJ
language English
format Article
sources DOAJ
author Mohamed M. A. Metwali
spellingShingle Mohamed M. A. Metwali
Solvability of functional quadratic integral equations with perturbation
Opuscula Mathematica
quadratic integral equation
measure of noncompactness
Krasnoselskii fixed point theorem
superposition operators
author_facet Mohamed M. A. Metwali
author_sort Mohamed M. A. Metwali
title Solvability of functional quadratic integral equations with perturbation
title_short Solvability of functional quadratic integral equations with perturbation
title_full Solvability of functional quadratic integral equations with perturbation
title_fullStr Solvability of functional quadratic integral equations with perturbation
title_full_unstemmed Solvability of functional quadratic integral equations with perturbation
title_sort solvability of functional quadratic integral equations with perturbation
publisher AGH Univeristy of Science and Technology Press
series Opuscula Mathematica
issn 1232-9274
publishDate 2013-01-01
description We study the existence of solutions of the functional quadratic integral equation with a perturbation term in the space of Lebesgue integrable functions on an unbounded interval by using the Krasnoselskii fixed point theory and the measure of weak noncompactness.
topic quadratic integral equation
measure of noncompactness
Krasnoselskii fixed point theorem
superposition operators
url http://www.opuscula.agh.edu.pl/vol33/4/art/opuscula_math_3342.pdf
work_keys_str_mv AT mohamedmametwali solvabilityoffunctionalquadraticintegralequationswithperturbation
_version_ 1725659641310871552

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