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

页码：4603 / 4614

页数：12

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