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.
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页码：481 / 489
页数：9
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