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

被引：3

作者：

Bousselsal, Mahmoud ^{[1
,2
]}

Jah, Sidi Hamidou ^{[2
]}

机构：

[1] ENS Kouba, Dept Math, Lab Analyse Nonlineaire & HM, Algiers 16250, Algeria

[2] Qassim Univ, Coll Sci, Dept Math, Buraydah 51452, Saudi Arabia

来源：

INTERNATIONAL JOURNAL OF ANALYSIS | 2014年

关键词：

D O I：

10.1155/2014/280709

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the existence of solutions of a nonlinear Volterra integral equation in the space L-1 [0, +infinity). 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.

引用

页数：10

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