On the Periodicity of a Difference Equation with Maximum

We investigate the periodic nature of solutions of the max difference equation xn+1=max⁡{xn,A}/(xnxn−1), n=0,1,…, where A is a positive real parameter, and the initial conditions 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...

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Bibliographic Details
Main Authors: Ali Gelisken, Cengiz Cinar, Ibrahim Yalcinkaya
Format: Article
Language:English
Published: Hindawi Limited 2008-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2008/820629