A difference equation with eventually periodic solutions

被引：39

作者：

Amleh, AM ^{[1
]}

Hoag, J

Ladas, G

机构：

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

[2] Providence Coll, Dept Math, Providence, RI 02918 USA

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 1998年 / 36卷 / 10-12期

关键词：

difference equations; eventually periodic solutions;

D O I：

10.1016/S0898-1221(98)80040-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that every solution of the difference equation x(n+1) = max{1/x(n), A/x(n-1)}, n = 0, 1, ..., where the parameter A and the initial conditions x(-1) and x(0) are nonzero real numbers is eventually periodic with period 2, 3, or 4. We also give a precise description of the period in terms of A and the initial conditions. (C) 1998 Elsevier Science Ltd. All rights reserved.

引用

页码：401 / 404

页数：4