Constant-sign solutions of a system of difference equations of Urysohn type

被引：1
|
作者：
Agarwal, Ravi P. [1 ]
O'Regan, Donal [2 ]
Wong, Patricia J. Y. [3 ]
机构：
[1] Florida Inst Technol, Dept Math Sci, Melbourne, FL 32901 USA
[2] Natl Univ Ireland Univ Coll Galway, Dept Math, Galway, Ireland
[3] Nanyang Technol Univ, Sch Elect & Elect Engn, Singapore 639798, Singapore
来源：
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2008年 / 14卷 / 05期
关键词：
constant-sign solutions; eigenvalues; eigenfunctions; system of difference equations;
D O I：
10.1080/10236190701698114
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the following system of difference equations [GRAPHICS] where T >= N>0. By using fixed point theorems and fixed point index theory, criteria are developed to guarantee the existence of single, double and multiple solutions of the system that are of constant signs, i.e. for each 1 <= i <= n, u(i)(k) for is an element of k{0,1,,T}. We also consider the eigenvalue problem [GRAPHICS] and establish criteria for the existence of a constant-sign solution when is in some interval.
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页码：531 / 561
页数：31
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