Constant-Sign Solutions of a System of Urysohn Integral Equations

被引：2
|
作者：
Agarwal, Ravi P. [2 ]
O'Regan, Donal [3 ]
Wong, Patricia J. Y. [1 ]
机构：
[1] Nanyang Technol Univ, Sch Elect & Elect Engn, Singapore 639798, Singapore
[2] Florida Inst Technol, Dept Math Sci, Melbourne, FL 32901 USA
[3] Natl Univ Ireland, Dept Math, Galway, Ireland
来源：
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2008年 / 29卷 / 11-12期
关键词：
Constant-sign solutions; Eigenfunctions; Eigenvalues; System of Urysohn integral equations;
D O I：
10.1080/01630560802598556
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the following system of Urysohn integral equations [image omitted] By using fixed point theorems and fixed point index theory, criteria are established for the existence of single, double and multiple solutions of the system that are of constant signs, i.e., for each 1in, ui(t)0 or ui(t)0 for t[0,1]. We also consider the eigenvalue problem [image omitted] where criteria are derived such that for in some interval, the existence of a constant-sign solution is guaranteed.
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页码：1205 / 1239
页数：35
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