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

Mahmoud Bousselsal | Zendy; Sidi Hamidou Jah | Zendy

Open Access

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

Author(s) -

Mahmoud Bousselsal,

Sidi Hamidou Jah

Publication year - 2014

Publication title -

international journal of analysis

Language(s) - English

Resource type - Journals

eISSN - 2314-4998

pISSN - 2314-498X

DOI - 10.1155/2014/280709

Subject(s) - measure (data warehouse) , nonlinear system , integral equation , mathematics , fixed point theorem , mathematical analysis , computer science , physics , database , quantum mechanics

We study the existence of solutions of a nonlinear Volterra integral equation in the space L1[0,+∞). 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

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