A note on some piecewise-linear difference equations with Mersenne-type periodic solutions

被引：2
|
作者：
Berenhaut, Kenneth S. [1 ]
Stancil, Bennett J. [1 ]
Newman, Jonathan H. [1 ]
机构：
[1] Wake Forest Univ, Dept Math, Winston Salem, NC 27109 USA
来源：
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2009年 / 15卷 / 07期
关键词：
piecewise-linear difference equation; periodicity; descent; recursive equation; Mersenne numbers;
D O I：
10.1080/10236190802271449
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper studies solutions of some piecewise-linear difference equations. In two particular cases, a descent argument is used to show that all solutions are periodic with either prime period 3(2(k) - 1) or 6(2(k) - 1) for some k >= 1. The existence of solutions with such periods is also considered.
引用
收藏
页码：729 / 733
页数：5
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