Periodic solutions to some difference equations over the integers

John R Greene; Kate Niedzielski

doi:10.1080/10236190802395172

Periodic solutions to some difference equations over the integers

John R Greene, Kate Niedzielski

Mathematics & Statistics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

In this paper, we investigate periodic integer solutions {a_n} to where r is a rational number. We show that solutions can only exist, if -1 ≤ r ≤ 1/2 and we give several infinite families of rs, for which the above recurrence has periodic solutions in the integers.

Original language	English (US)
Pages (from-to)	321-346
Number of pages	26
Journal	Journal of Difference Equations and Applications
Volume	16
Issue number	4
DOIs	https://doi.org/10.1080/10236190802395172
State	Published - Apr 2010

Keywords

Difference equation
Fibonacci identities
Lucas numbers
Periodic solutions

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Periodic solutions to some difference equations over the integers

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