Dynamical properties of a class of higher-order nonlinear difference equations

被引：3

作者：

Liao, Maoxin ^{[1
,2
]}

Tang, Xianhua ^{[2
]}

Ouyang, Zigen ^{[1
]}

Xu, Changjin ^{[2
]}

机构：

[1] Univ S China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China

[2] Cent S Univ, Sch Math Sci & Comp Technol, Changsha 410083, Hunan, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 217卷 / 12期

关键词：

Nonlinear difference equation; Positive solution; Equilibrium; Convergence; GLOBAL ASYMPTOTIC STABILITY; NONTRIVIAL SOLUTIONS; ATTRACTIVITY;

D O I：

10.1016/j.amc.2010.12.017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note, we consider the dynamical properties of the following higher-order nonlinear difference equation chi(n) = Pi(v)(i=1)(chi(beta i)(n-i) + 1) + Pi(v)(i=1)(chi(beta 1)(n-i) - 1)/Pi(v)(i=1)(chi(n-i)beta(i) + 1) - Pi(v)(i=1)(chi(beta i)(n-i) + 1) - Pi(v)(i=1)(chi(beta i)(n-i) - 1) , n = 0, 1, ... with chi (v),chi (v+ 1), ... , chi (1)is an element of( 0,infinity), beta(1) is an element of ( 0, 1], beta(i) is an element of ( 0,+ infinity)( i = 2,3, ... , v). Our result extends and includes corresponding results in the recent literatures. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：5476 / 5479

页数：4

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