Attractivity and global stability for linearizable difference equations

被引：21

作者：

Janowski, E. J. ^{[1
]}

Kulenovic, M. R. S. ^{[1
]}

机构：

[1] Univ Rhode Isl, Dept Math, Kingston, RI 02881 USA

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2009年 / 57卷 / 09期

关键词：

Attractivity; Difference equations; Linearized; Non-autonomous; Stability;

D O I：

10.1016/j.camwa.2008.10.064

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Consider the difference equation x(n+1) = f(x(n), ..., x(n-k)), n = 0, 1, ... where k is an element of {0, 1, ...} and the initial conditions are real numbers. We use the linearization of this equation in the form x(n+l) = Sigma(k)(i=1-l)g(i)x(n-i), n = 0, 1, ... where l is an element of {1,2, ...} and the functions g(i) : Rk+l -> R to investigate the asymptotic behavior of the solutions of the considered equation. We illustrate our results with various examples. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：1592 / 1607

页数：16