Our goal in this paper is to investigate the long-term behavior of solutions of the following difference equation: , where the initial conditions and are real numbers. We examine the boundedness of solutions, periodicity of solutions, and existence of unbounded solutions and how these behaviors depend on initial conditions.
Candace M. Kent. Witold Kosmala. Michael A. Radin. Stevo Stević. "Solutions of the Difference Equation ." Abstr. Appl. Anal. 2010 1 - 13, 2010. https://doi.org/10.1155/2010/469683