We study the following difference equation , where and the initial conditions . We show that every positive solution of the above equation either converges to a finite limit or to a two cycle, which confirms that the Conjecture 6.10.4 proposed by Kulenović and Ladas (2002) is true.
Taixiang Sun. Hongjian Xi. Hui Wu. Caihong Han. "Global Behavior of the Difference Equation ." Abstr. Appl. Anal. 2010 1 - 6, 2010. https://doi.org/10.1155/2010/237129