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
收藏
页码：401 / 404
页数：4
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