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A Note on the Periodicity of the Lyness Max Equation


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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Correspondence to Cengiz Cinar.

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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).

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