On the boundedness of solutions of a class of third-order rational difference equations

被引：3

作者：

Huang, Ying Sue ^{[1
]}

Knopf, Peter M. ^{[1
]}

机构：

[1] Pace Univ, Dept Math, Pleasantville, NY 10038 USA

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2018年 / 24卷 / 10期

关键词：

Difference equations; boundedness character; third-order; rational; POSITIVE SOLUTIONS; TRICHOTOMY; CHARACTER; XN+1;

D O I：

10.1080/10236198.2018.1506447

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the difference equation with alpha > 0 and C > 0. If alpha C-2 >= 1, we show that for all positive initial conditions the solutions of the difference equations are bounded. If alpha C-2 >= 1, then there exists positive initial conditions such that the solutions are unbounded.

引用

页码：1541 / 1587

页数：47

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