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  • Research Article
  • 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:


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).


  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Functional Analysis
  • Functional Equation

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Authors’ Affiliations

Department of Mathematics, Faculty of Education, Selcuk University, 42099 Konya, Turkey


© Ali Gelisken et al. 2008

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.