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

被引：35
|
作者：
Cunningham, K [1 ]
Kulenovic, MRS [1 ]
Ladas, G [1 ]
Valicenti, SV [1 ]
机构：
[1] Univ Rhode Isl, Dept Math, Kingston, RI 02881 USA
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2001年 / 47卷 / 07期
关键词：
difference equations; global asymptotic stability; semicycles;
D O I：
10.1016/S0362-546X(01)00573-9
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.
引用
收藏
页码：4603 / 4614
页数：12
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