Gelişken, AliÇınar, CengizKurbanlı, Abdullah Selçuk2020-03-262020-03-262010Gelişken, A., Çınar, C., Kurbanlı, A. S., (2010). On the Asymptotic Behavior and Periodic Nature of a Difference Equation With Maximum. Computers & Mathematics With Applications, (59), 898-902. Doi: 10.1016/j.camwa.2009.10.0040898-12211873-7668https://dx.doi.org/10.1016/j.camwa.2009.10.004https://hdl.handle.net/20.500.12395/25119In this paper, we investigate the asymptotic behavior and periodic nature of positive solutions of the difference equation x(n) = max {A/x(n-1), 1/x(n-2)(alpha)}, n >= 0, where A >= 0 and 0 <= alpha <= 1. We prove that every positive solution of this difference equation approaches (x) over bar = 1 or is eventually periodic with a period 2, 3 or 4.en10.1016/j.camwa.2009.10.004info:eu-repo/semantics/openAccessMax operatorDifference equationPositive solutionGlobal attractivityPeriodicityArticle59898902Q1WOS:000278887600028Q1