International Journal of Mathematics and Mathematical Sciences
Volume 2007 (2007), Article ID 23618, 12 pages
On the Rational Recursive Sequence
1Mathematics Department, Faculty of Science, Zagazig University, Zagazig 44519, Egypt
2Mathematics Department, Faculty of Science, Taif University, P.O. Box 888, El-Taif 5700, Hawai, Saudi Arabia
Received 13 August 2006; Revised 22 January 2007; Accepted 22 January 2007
Academic Editor: Martin J. Bohner
Copyright © 2007 E. M. E. Zayed and M. A. El-Moneam. 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.
The main objective of this paper is to study the boundedness character, the periodic character, the convergence, and the global stability of the positive
solutions of the difference equation where and the initial conditions are arbitrary positive real numbers, while is a positive integer number.