Positive solution for first-order discrete periodic boundary value problem

被引：14
|
作者：
Sun, Jian-Ping [1 ]
机构：
[1] Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Gansu, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2006年 / 19卷 / 11期
关键词：
discrete periodic boundary value problem; positive solution; fixed point; cone;
D O I：
10.1016/j.aml.2006.01.007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, existence criteria for a positive solution for the following first-order discrete periodic boundary value problem: Delta x (k) + f (k, x (k + 1)) = 0, k is an element of [0, T] x(0) = x(T + 1) are established by using a fixed point theorem for operators on a cone. An example is also included to illustrate the importance of the result obtained. (c) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1244 / 1248
页数：5
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