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A Note on the Periodicity of the Lyness Max Equation

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Abstract

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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Keywords

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