Global behavior of  the difference equation $x_{n+1}=\frac{Ax_{n-1}} {B-Cx_{n}x_{n-2}}$

R. Abo-Zeid; Cengiz Cinar

doi:10.5269/bspm.v31i1.14432

Global behavior of the difference equation $x_{n+1}=\frac{Ax_{n-1}} {B-Cx_{n}x_{n-2}}$

R. Abo-Zeid October 6 university Faculty of Engineering Department of Basic Science
Cengiz Cinar Selcuk University Faculty of Education Mathematics Department

DOI: https://doi.org/10.5269/bspm.v31i1.14432

Résumé

The aim of this work is to investigate the global stability, periodic nature, oscillation and the boundedness of all admissible solutions of the difference equation $x_{n+1}=\frac{Ax_{n-1}} {B-Cx_{n}x_{n-2}}$, n=0,1,2,... where A, B, C are positive real numbers.