Integrable Solutions of a Nonlinear Integral Equation via Noncompactness Measure and Krasnoselskii's Fixed Point Theorem

Mahmoud Bousselsal and Sidi Hamidou Jah

International Journal of Analysis, 2014, vol. 2014, 1-10

Abstract:

We study the existence of solutions of a nonlinear Volterra integral equation in the space . With the help of Krasnoselskii’s fixed point theorem and the theory of measure of weak noncompactness, we prove an existence result for a functional integral equation which includes several classes on nonlinear integral equations. Our results extend and generalize some previous works. An example is given to support our results.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:ijanal:280709

DOI: 10.1155/2014/280709

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