Copyright © 2010 Candace M. Kent 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.
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.