Advances in Difference Equations volume 2008, Article number: 651747 (2007)
We investigate the periodic nature of solutions of a "max-type" difference equation sometimes referred to as the "Lyness max" equation. The equation we consider is 
where 
is a positive real parameter, 
, and 
such that 
and 
are positive rational numbers. The results in this paper answer the Open Problem of Grove and Ladas (2005).
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Gelisken, A., Cinar, C. & Karatas, R. A Note on the Periodicity of the Lyness Max Equation. Adv Differ Equ 2008, 651747 (2007). https://doi.org/10.1155/2008/651747
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DOI: https://doi.org/10.1155/2008/651747