Existence and uniqueness of solutions of Abel integral equations with power-law non-linearities

被引：6
作者：
Buckwar, E [1 ]
机构：
[1] Humboldt Univ, Inst Math, D-10099 Berlin, Germany
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2005年 / 63卷 / 01期
关键词：
nonlinear Abel integral equations; convolution kernel; non-convolution kernel; non-unique solution; power-law non-linearity; cones in Banach spaces;
D O I：
10.1016/j.na.2005.05.004
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article a class of nonlinear Abel-type integral equations is studied. These equations have at least the trivial solution, but we are interested in a continuous, positive solution. We show that there exists a unique positive solution in an order interval of a cone in a Banach space. (c) 2005 Elsevier Ltd. All rights reserved.
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页码：88 / 96
页数：9
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