Mathematics Department, Faculty
of Education, Selcuk University, 42090 Konya, Turkey
Copyright © 2009 Ali Gelişken and Cengiz Çinar. 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 asymptotic behavior and periodic nature of positive solutions of the difference equation , where and . We prove that every positive solution of this difference equation approaches or is eventually periodic with period 2.