Solvability of a quadratic integral equation of Fredholm type in Holder spaces

Solvability of a quadratic integral equation of Fredholm type in Holder spaces

In this article, we prove the existence of solutions of a quadratic integral equation of Fredholm type with a modified argument, in the space of functions satisfying a Holder condition. Our main tool is the classical Schauder fixed point theorem.

Bibliographic Details
Main Authors: Josefa Caballero, Mohamed Abdalla Darwish, Kishin Sadarangani
Format: Article
Language:English
Published: Texas State University 2014-01-01
Series:Electronic Journal of Differential Equations
Subjects:
Fredholm
Holder condition
Schauder fixed point theorem
Online Access:http://ejde.math.txstate.edu/Volumes/2014/31/abstr.html
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spelling doaj-ef47e9f9b9b54b3cab94b0494d31a3692020-11-25T00:24:40ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912014-01-01201431,110Solvability of a quadratic integral equation of Fredholm type in Holder spacesJosefa Caballero0Mohamed Abdalla Darwish1Kishin Sadarangani2 Univ. de Las Palmas de Gran Canaria, Spain King Abdulaziz Univ., Jeddah, Saudi Arabia Univ. de Las Palmas de Gran Canaria, Spain In this article, we prove the existence of solutions of a quadratic integral equation of Fredholm type with a modified argument, in the space of functions satisfying a Holder condition. Our main tool is the classical Schauder fixed point theorem.http://ejde.math.txstate.edu/Volumes/2014/31/abstr.htmlFredholmHolder conditionSchauder fixed point theorem
collection DOAJ
language English
format Article
sources DOAJ
author Josefa Caballero
Mohamed Abdalla Darwish
Kishin Sadarangani
spellingShingle Josefa Caballero
Mohamed Abdalla Darwish
Kishin Sadarangani
Solvability of a quadratic integral equation of Fredholm type in Holder spaces
Electronic Journal of Differential Equations
Fredholm
Holder condition
Schauder fixed point theorem
author_facet Josefa Caballero
Mohamed Abdalla Darwish
Kishin Sadarangani
author_sort Josefa Caballero
title Solvability of a quadratic integral equation of Fredholm type in Holder spaces
title_short Solvability of a quadratic integral equation of Fredholm type in Holder spaces
title_full Solvability of a quadratic integral equation of Fredholm type in Holder spaces
title_fullStr Solvability of a quadratic integral equation of Fredholm type in Holder spaces
title_full_unstemmed Solvability of a quadratic integral equation of Fredholm type in Holder spaces
title_sort solvability of a quadratic integral equation of fredholm type in holder spaces
publisher Texas State University
series Electronic Journal of Differential Equations
issn 1072-6691
publishDate 2014-01-01
description In this article, we prove the existence of solutions of a quadratic integral equation of Fredholm type with a modified argument, in the space of functions satisfying a Holder condition. Our main tool is the classical Schauder fixed point theorem.
topic Fredholm
Holder condition
Schauder fixed point theorem
url http://ejde.math.txstate.edu/Volumes/2014/31/abstr.html
work_keys_str_mv AT josefacaballero solvabilityofaquadraticintegralequationoffredholmtypeinholderspaces
AT mohamedabdalladarwish solvabilityofaquadraticintegralequationoffredholmtypeinholderspaces
AT kishinsadarangani solvabilityofaquadraticintegralequationoffredholmtypeinholderspaces
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