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Research Article Open access CC BY 4.0

On the Dynamics of the Solutions of the Rational Recursive Sequences

M. A. El-Moneam

Journal of Advances in Mathematics and Computer Science · pp. 654–665 · Published 9 Dec 2014

10.9734/BJMCS/2015/9657

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 coefficientswhile 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.

Difference equations prime period two solution boundedness character locally asympto-tically stable global attractor global stability

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