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A Note on the Periodicity of the Lyness Max Equation

Advances in Difference Equations volume 2008, Article number: 651747 (2007) Cite this article

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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Authors and Affiliations

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

    Ali Gelisken, Cengiz Cinar & Ramazan Karatas

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  1. Ali Gelisken
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  2. Cengiz Cinar
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  3. Ramazan Karatas
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Correspondence to Cengiz Cinar.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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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). https://doi.org/10.1155/2008/651747

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  • DOI: https://doi.org/10.1155/2008/651747

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