Existence of positive solutions of boundary value problem for a discrete difference system

被引：5
|
作者：
Sun, JP
Li, WT [1 ]
机构：
[1] Lanzhou Univ, Dept Math, Lanzhou 730000, Gansu, Peoples R China
[2] Gansu Univ Technol, Dept Appl Math, Lanzhou 730050, Gansu, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2004年 / 156卷 / 03期
基金：
中国国家自然科学基金;
关键词：
discrete system; positive solution; cone; nonlinear alternative; fixed point;
D O I：
10.1016/j.amc.2003.06.014
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we consider the following boundary value problem of discrete system Delta(2)u(1)(k) + f(1)(k,u(1)(k), u(2)(k)) = 0, k is an element of [0.T], Delta(2)u(2)(k) + f(2)(k,u(1)(k), u(2)(k)) = 0, k is an element of [0,T], with the Dirichlet boundary value condition u(1)(0) = u(1)(T + 2) = 0 = u(2)(0) = u(2)(T + 2). Some sufficient conditions are obtained for the existence of one or two positive solutions to the above system by using nonlinear alternative of Leray-Schauder type and Krasnosel' skii's fixed point theorem in a cone. (C) 2003 Elsevier Inc. All rights reserved.
引用
收藏
页码：857 / 870
页数：14
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