Monotonic solutions of a quadratic integral equation of Volterra type

被引：70

作者：

Banas, J

Martinon, A

机构：

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

[2] Univ La Laguna, Dept Math Anal, San Cristobal la Laguna 38271, Spain

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2004年 / 47卷 / 2-3期

关键词：

quadratic integral equation; measure of noncompactness; fixed-point theorem; monotonic solutions;

D O I：

10.1016/S0898-1221(04)00011-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a nonlinear quadratic integral equation of Volterra type in the Banach space of real functions defined and continuous on a bounded and closed interval. With the help of a suitable measure of noncompactness, we show that the mentioned integral equation has monotonic solutions. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：271 / 279

页数：9

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