Monotonic solutions of Urysohn integral equation on unbounded interval

被引：1

作者：

Banas, J ^{[1
]}

Paslawska-Poludniak, M ^{[1
]}

机构：

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

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2004年 / 47卷 / 12期

关键词：

Urysohn integral equation; measure of noncompactness; compactness in measure; weak sequential continuity;

D O I：

10.1016/j.camwa.2002.08.014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate a nonlinear Urysohn integral equation on unbounded interval. We show that under some assumptions that the equation has monotonic solutions belonging to the space of functions being Lebesgue integrable on unbounded interval. The main tool used in our study is the technique associated with measures of weak noncompactness and measures of noncompactness in strong sense. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：1947 / 1954

页数：8

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