On the recursive sequence xn+1 = α + β xn+ γ xn -1/Bxn + Cxn -1

被引：12

作者：

El-Afifi, MM ^{[1
]}

机构：

[1] Al Azhar Univ, Dept Math, Fac Sci, Cairo 11884, Egypt

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2004年 / 147卷 / 03期

关键词：

difference equations; attractivity; global asymptotic stability; semicycle;

D O I：

10.1016/S0096-3003(02)00800-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the global character of solutions of the equation in the title with nonnegative parameters and positive initial conditions. We give a detailed description of the semicycles of solutions and prove that the equilibrium of the equation is globally asymptotically stable. (C) 2003 Elsevier Inc. All rights reserved.

引用

页码：617 / 628

页数：12

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