Multiple positive solutions for discrete nonlocal boundary value problems

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:330

Article

Cheung, Wing-Sum ; Ren, Jingli ; Wong, Patricia J. Y. ; Zhao, Dandan

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

DOI  :  10.1016/j.jmaa.2006.08.034

来源: Elsevier

【 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.

【 授权许可】

Free