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

页码：729 / 733

页数：5

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