Two rational recursive sequences

被引：26

作者：

Li, XY ^{[1
]}

Zhu, DM

机构：

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

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

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2004年 / 47卷 / 10-11期

基金：

中国国家自然科学基金;

关键词：

rational sequence; recursive difference equation; global asymptotic stability; semicycle;

D O I：

10.1016/j.camwa.2004.06.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Two sufficient conditions are obtained for the global asymptotic stability of the following two rational difference equations x(n+1) = x(n)x(n-2)+a/x(n)+x(n-2), n = 0, 1, 2, . . . , and x(n+1) = x(n-1)x(n-2)+a/x(n-1)+x(n-2), n = 0, 1, 2, . . . , where a is an element of [0, infinity) and the initial values x(-2), x(-1), x(0) is an element of (0, infinity). (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：1487 / 1494

页数：8