<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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.</p></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.

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

Inönü Üniversitesi, Egitim Fakültesi, A-Blok, Malatya, 44280, Turkey

Malatya Fen Lisesi, Malatya, 44110, Turkey

Nevsehir Hacı Bektas Veli Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü, Nevsehir, 50300, Turkey

Annals of West University of Timisoara - Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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...

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

Published Online: Dec 11, 2014

Page range: 121 - 140

Received: Jan 30, 2014

Accepted: May 12, 2014

DOI: https://doi.org/10.2478/awutm-2014-0008

Keywords
Nonlinear integral equation, Measure of noncompactness, Fixed point theorem, Banach algebra, Product of two operators

© Annals of West University of Timisoara - Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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

Published Online: Dec 11, 2014

Page range: 121 - 140

Received: Jan 30, 2014

Accepted: May 12, 2014

DOI: https://doi.org/10.2478/awutm-2014-0008

KeywordsNonlinear integral equation, Measure of noncompactness, Fixed point theorem, Banach algebra, Product of two operators

© Annals of West University of Timisoara - Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Nonlinear integral equation, Measure of noncompactness, Fixed point theorem, Banach algebra, Product of two operators