Nonexistence and existence of positive solutions for difference equations with unbounded delay

被引：48
|
作者：
Zhang, BG [1 ]
Tian, CJ
机构：
[1] Ocean Univ Qingdao, Dept Appl Math, Qingdao 266003, Peoples R China
[2] Jinzhou Teachers Coll, Dept Math, Jinzhou 434100, Hubei, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 1998年 / 36卷 / 01期
关键词：
oscillations; difference equations; unbounded delay;
D O I：
10.1016/S0898-1221(98)00103-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Consider the delay difference equation x(n+1) - x(n) + p(n)x(r(n)) = 0, n = 0, 1, 2,..., where tau : N --> Z, tau(n) < n for n is an element of N and lim(n-->infinity) tau(n) = infinity, {p(n)} is an element of R. Some existence results of positive solutions and oscillation criteria for this equation are obtained. (C) 1998 Elsevier Science Ltd. All rights reserved.
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页码：1 / 8
页数：8
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