Multiple positive solutions for discrete nonlocal boundary value problems

被引：16

作者：

Cheung, Wing-Sum ^{[1
]}

Ren, Jingli

Wong, Patricia J. Y.

Zhao, Dandan

机构：

[1] Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China

[2] Zhengzhou Univ, Dept Math, Zhengzhou 450052, Henan, Peoples R China

[3] Nanyang Technol Univ, Sch Elect & Elect Engn, Singapore 639798, Singapore

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 330卷 / 02期

基金：

中国国家自然科学基金;

关键词：

nonlocal boundary value problem; fixed point theorem; Green's function; positive solution;

D O I：

10.1016/j.jmaa.2006.08.034

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate a second-order nonlinear difference equation with sign-changing nonlinearity subject to two different sets of nonlocal boundary conditions. The explicit expressions of the associated Green's functions are presented. By using a recently developed fixed point theorem, we establish sufficient conditions for the existence of multiple positive solutions of the boundary value problem. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：900 / 915

页数：16

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