Monotonic solutions of a quadratic integral equation of Volterra type

被引：73
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.
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收藏
页码：271 / 279
页数：9
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