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

页码：2469 / 2475

页数：7

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