A note on some piecewise-linear difference equations with Mersenne-type periodic solutions
Berenhaut, Kenneth S.; Stancil, Bennett J.; Newman, Jonathan H.; Berenhaut, Kenneth S.; Department of Mathematics, Wake Forest University; Stancil, Bennett J.; Department of Mathematics, Wake Forest University; Newman, Jonathan H.; Department of Mathematics, Wake Forest University
Журнал:
Journal of Difference Equations and Applications
Дата:
2009
Аннотация:
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<sup> k </sup> − 1) or 6(2<sup> k </sup> − 1) for some k ≥ 1. The existence of solutions with such periods is also considered.
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