Electron. J. Diff. Equ.,
Vol. 2014 (2014), No. 31, pp. 1-10.
Solvability of a quadratic integral equation of Fredholm type in Holder spaces
Josefa Caballero, Mohamed Abdalla Darwish, Kishin Sadarangani
Abstract:
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.
Submitted October 31, 2013. Published January 27, 2014.
Math Subject Classifications: 45G10, 45M99, 47H09.
Key Words: Fredholm; Holder condition; Schauder fixed point theorem.
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Josefa Caballero
Departamento de Matemáticas
Universidad de Las Palmas de Gran Canaria
Campus de Tafira Baja, 35017 Las Palmas de Gran Canaria, Spain
email: fefi@dma.ulpgc.es
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Mohamed Abdalla Darwish
Department of Mathematics, Sciences Faculty for Girls
King Abdulaziz University, Jeddah, Saudi Arabia.
Department of Mathematics, Faculty of Science
Damanhour University, Damanhour, Egypt
email: dr.madarwish@gmail.com
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Kishin Sadarangani
Departamento de Matemáticas
Universidad de Las Palmas de Gran Canaria
Campus de Tafira Baja, 35017 Las Palmas de Gran Canaria, Spain
email: ksadaran@dma.ulpgc.es
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