Advances in Difference Equations (Jan 2008)

A Note on the Periodicity of the Lyness Max Equation

  • Gelisken Ali,
  • Cinar Cengiz,
  • Karatas Ramazan

Journal volume & issue
Vol. 2008, no. 1
p. 651747

Abstract

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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).