Gelisken, AliCinar, CengizKaratas, Ramazan2020-03-262020-03-2620081687-1847https://dx.doi.org/10.1155/2008/651747https://hdl.handle.net/20.500.12395/22169We 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 x(n+1) = max{x(n), A}/x(n-1). where A is a positive real parameter, x - 1 = A(r-1), and x(0) = A(ro) such that r(-1) and r(0) are positive rational numbers. The results in this paper answer the Open Problem of Grove and Ladas (2005). Copyright (c) 2008 Ali Gelisken et al.en10.1155/2008/651747info:eu-repo/semantics/openAccessArticleQ2WOS:000255773300001Q3