Integrable solutions of a nonlinear integral equation via noncompactness measure and Krasnoselskii's fixed point theorem
type: Item
instance of: scholarly article
title: Integrable solutions of a nonlinear integral equation via noncompactness measure and Krasnoselskii's fixed point theorem
zbMATH Open document ID: 1390.45014
DOI: 10.1155/2014/280709
author: Mahmoud Bousselsal
author: Sidi Hamidou Jah
published in: International Journal of Analysis
publication date: 2018-06-11T00:00:00Z
review text: Summary: We study the existence of solutions of a nonlinear Volterra integral equation in the space \(L^1[0, +\infty)\). 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.
Mathematics Subject Classification ID: 45G10
Mathematics Subject Classification ID: 45D05
zbMATH DE Number: 6883042
zbMATH Keywords: nonlinear Volterra integral equation
zbMATH Keywords: integrable solutions
zbMATH Keywords: noncompactness measure
zbMATH Keywords: mixed Volterra-Fredholm integral equation
Wikidata QID: Q59041331
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/280709
OpenAlex ID: W2062150762
description: scientific article; zbMATH DE number 6883042