Global asymptotic stability in a rational equation

被引：59

作者：

Li, XY ^{[1
]}

Zhu, DM

机构：

[1] Nanhua Univ, Dept Math & Phys, Hengyang 421001, Peoples R China

[2] E China Normal Univ, Dept Math, Shanghai 200062, Peoples R China

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2003年 / 9卷 / 09期

基金：

中国国家自然科学基金;

关键词：

rational difference equation; global asymptotic stability; semicycle; equilibrium point;

D O I：

10.1080/1023619031000071303

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a sufficient condition is obtained for the global asymptotic stability of the following rational difference equation x(n+1) = x(n)x(n-1)+a/x(n)+x(n-1), n = 0, 1, 2,..., where a is an element of [0, infinity) and the initial values x(-1), x(0) is an element of (0, infinity).

引用

页码：833 / 839

页数：7

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