On the Solutions of a Class of Nonlinear Integral Equations in the Banach Algebra of the Continuous Functions and Some Examples

Ismet Özdemir; Bekir Ilhan; Ümit Çakan

doi:10.2478/awutm-2014-0008

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On the Solutions of a Class of Nonlinear Integral Equations in the Banach Algebra of the Continuous Functions and Some Examples

Annals of West University of Timisoara - Mathematics and Computer Science

Volume 52 (2014): Issue 1 (June 2014)

By: Ismet Özdemir, Bekir Ilhan and Ümit Çakan

Open Access

|Dec 2014

Abstract

In this paper, we study the existence of the solutions of a class of functional integral equations which contain a lot of classical nonlinear integral equations as special cases. We consider the solvability of the equations in the Banach algebra of continuous functions on a closed and bounded interval. The main tools here are the measure of noncompactness and the suitable fixed point theorem for the product of two operators in the Banach algebra.

References

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Articles in this issue

DOI: https://doi.org/10.2478/awutm-2014-0008 | Journal eISSN: 1841-3307 | Journal ISSN: 1841-3293

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Language: English

Page range: 121 - 140

Submitted on: Jan 30, 2014

Accepted on: May 12, 2014

Published on: Dec 11, 2014

Published by: West University of Timisoara

In partnership with: Paradigm Publishing Services

Publication frequency: Volume open

Keywords:

Nonlinear integral equation,

Measure of noncompactness,

Fixed point theorem,

Banach algebra,

Product of two operators

Related subjects:

Mathematics,

General mathematics

© 2014 Ismet Özdemir, Bekir Ilhan, Ümit Çakan, published by West University of Timisoara
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 52 (2014): Issue 1 (June 2014)