On the Dynamics of the Solutions of the Rational Recursive Sequences
M. A. El-Moneam *
Mathematics Department, Faculty of Science and Arts in Farasan, Jazan University, Kingdom of Saudi Arabia.
*Author to whom correspondence should be addressed.
Abstract
In this article, we study the periodicity, the boundedness and the global stability of the positive
solutions of the following nonlinear difference equation
where the coefficients
while k; l and are positive integers. The initial
conditions 
are arbitrary positive real numbers such that k < l < :
Some numerical examples will be given to illustrate our results.
Keywords: Difference equations, prime period two solution, boundedness character, locally asympto-tically stable, global attractor, global stability