Gelisken, AliCinar, CengizYalcinkaya, Ibrahim2020-03-262020-03-2620081026-02261607-887Xhttps://dx.doi.org/10.1155/2008/820629https://hdl.handle.net/20.500.12395/22544We investigate the periodic nature of solutions of the max difference equation x(n+1) = max{x(n), A}/(x(n)x(n-1)), n = 0, 1,..., where A is a positive real parameter, and the initial conditions x(-1) = A(r-1) and x(0) = A(r0) such that r(-1) and r(0) are positive rational numbers. The results in this paper answer the Open Problem 6.2 posed by Grove and Ladas (2005). Copyright (c) 2008 Ali Gelisken et al.en10.1155/2008/820629info:eu-repo/semantics/openAccessOn the periodicity of a difference equation with maximumArticleQ3WOS:000258069200001Q2