On the trichotomy character of Xn+1=(α+βXn+γXn-1)/A+Xn

被引：52

作者：

Gibbons, CH

Kulenovic, MRS

Ladas, G ^{[1
]}

Voulov, HD

机构：

[1] Univ Rhode Isl, Dept Math, Kingston, RI 02881 USA

[2] So Illinois Univ, Dept Math, Carbondale, IL 62901 USA

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2002年 / 8卷 / 01期

关键词：

boundedness; difference equation; global attractivity; global asymptotic stability; period two solutions; trichotomy of solutions;

D O I：

10.1080/10236190211940

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that the equation in the title with nonnegative parameters and nonnegative initial conditions exhibits a trichotomy character concerning periodicity, convergence, and boundedness which depends on whether the parameter gamma is equal, less, or greater than the sum of the parameters beta and A.

引用

页码：75 / 92

页数：18

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