Mathematics Department, Ahmet Kelesoglu Education Faculty, Selcuk University, Meram Yeni Yol, 42090 Konya, Turkey
Academic Editor: Guang Y. Zhang
Copyright © 2010 Ibrahim Yalcinkaya et al. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We investigate the periodic nature of the solution of the max-type difference equation , , where the initial conditions are and for , and that and are positive rational numbers. The results in this paper solve the Open Problem proposed by Grove and Ladas (2005).