Positive solutions of boundary value problems for third-order functional difference equations

被引：20

作者：

Kong, LJ ^{[1
]}

Kong, QK

Zhang, BG

机构：

[1] No Illinois Univ, Dept Math, De Kalb, IL 60115 USA

[2] Ocean Univ Qingdao, Dept Math, Qingdao 266003, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2002年 / 44卷 / 3-4期

关键词：

positive solutions; functional difference equation; fixed-point theorem on cones;

D O I：

10.1016/S0898-1221(02)00170-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The existence of positive solutions are established for the third-order functional difference equation Delta(3)u(n) + a(n)f(n, u(w(n))) = 0, 0 less than or equal to n less than or equal to T, satisfying u(n) = phi(n), n(1) less than or equal to n less than or equal to 1, and u(n) = psi(n), T + 3 less than or equal to n less than or equal to n(2), with phi(0) = phi(1) psi(T + 3) = 0. The results in this paper generalize and substantially improve recent work by Agarwal and Henderson on boundary value problems related to third-order difference equations. (C) 2002 Elsevier Science Ltd. All rights reserved.

引用

页码：481 / 489

页数：9

共 13 条

[1] Positive solutions and nonlinear eigenvalue problems for third-order difference equations [J].