Gelisken, AliCinar, Cengiz2020-03-262020-03-2620091026-0226https://dx.doi.org/10.1155/2009/812674https://hdl.handle.net/20.500.12395/23719We investigate asymptotic behavior and periodic nature of positive solutions of the difference equation x(n) = max{A/x(n-1), 1/x(n-3)(alpha)}, n = 0, 1, . . . , 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 period 2. Copyright (C) 2009en10.1155/2009/812674info:eu-repo/semantics/openAccessArticleQ3WOS:000265724400001Q1