Boundedness and asymptotic behavior results for nonlinear difference equations with positive and negative coefficients

被引：3
|
作者：
Wei, Gengping [1 ]
Shen, Jianhua [2 ]
机构：
[1] Huaihua Coll, Dept Math, Huaihua 418008, Hunan, Peoples R China
[2] Hangzhou Normal Univ, Dept Math, Hangzhou 310036, Zhejiang, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2010年 / 60卷 / 08期
关键词：
Delay difference equation; Boundedness; Asymptotic behavior; Liapunov functional; GLOBAL ATTRACTIVITY; DELAY; OSCILLATION;
D O I：
10.1016/j.camwa.2010.08.046
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the nonlinear delay difference equations with positive and negative coefficients x(n + 1) - x(n) + p(n)f(x(n - k)) - q(n)f(x(n - l)) = 0, n >= n(0). (*) Sufficient conditions are obtained under which every solution of Eq. (*) is bounded and tends to a constant as n -> infinity. (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码：2469 / 2475
页数：7
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