Open Access

A Note on the Periodicity of the Lyness Max Equation

Advances in Difference Equations20072008:651747

Received: 24 October 2007

Accepted: 21 December 2007

Published: 30 December 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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Authors’ Affiliations

Department of Mathematics, Faculty of Education, Selcuk University


© Ali Gelisken et al. 2008

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