On existence of integrable solutions of a functional integral equation under Caratheodory conditions

被引：32

作者：

Banas, Jozef ^{[1
]}

Chlebowicz, Agnieszka ^{[1
]}

机构：

[1] Rzeszow Univ Technol, Dept Math, PL-35959 Rzeszow, Poland

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 70卷 / 09期

关键词：

Lebesgue integrable function; Caratheodory conditions; Functional integral equation; Superposition operator; Schauder fixed point principle; WEAK NONCOMPACTNESS; NON-COMPACTNESS;

D O I：

10.1016/j.na.2008.04.020

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the solvability of a functional integral equation in the space of Lebesgue integrable functions on an unbounded interval. Using the conjunction of the technique of measures of weak noncompactness with the classical Schauder fixed point principle we show that the equation in question is solvable in the mentioned function space. Our existence result is obtained under the assumption that functions involved in the investigated functional integral equation satisfy Caratheodory conditions. Moreover, that result generalizes several ones obtained earlier in many research papers and monographs. (c) 2008 Elsevier Ltd. All rights reserved.

引用

页码：3172 / 3179

页数：8

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