A Note on the Periodicity of the Lyness Max Equation
| Autor: | Ali Gelisken, Cengiz Cinar, Ramazan Karatas |
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| Jazyk: | angličtina |
| Rok vydání: | 2008 |
| Předmět: | |
| Zdroj: | Advances in Difference Equations, Vol 2008 (2008) |
| Druh dokumentu: | article |
| ISSN: | 1687-1839 37525425 |
| DOI: | 10.1155/2008/651747 |
| Popis: | 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  xn+1=max{xn,A}/xn−1â¢ . where A is a positive real parameter, x−1=Ar−1, and x0=Ar0 such that r−1 and r0 are positive rational numbers. The results in this paper answer the Open Problem of Grove and Ladas (2005). |
| Databáze: | Directory of Open Access Journals |
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