On the recursive sequence xn+1=α+xn-1/xn

被引：188

作者：

Amleh, AM

Grove, EA

Ladas, G ^{[1
]}

Georgiou, DA

机构：

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

[2] Democritus Univ Thrace, Dept Elect Engn, GR-67100 Xanthi, Greece

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1999年 / 233卷 / 02期

关键词：

difference equation; boundedness; global stability; period-2; solutions;

D O I：

10.1006/jmaa.1999.6346

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the global stability, the boundedness character, and the periodic nature of the positive solutions of the difference equation x(n+1) = alpha + x(n-1)/x(n), where alpha is an element of [0, infinity), and where the initial conditions x(-1) and x(0) are arbitrary positive real numbers. (C) 1999 Academic Press.

引用

页码：790 / 798

页数：9