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 $x_{n+1}=\frac{Ax_{n-1}} {B-Cx_{n}x_{n-2}}$

Authors

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

Keywords:

difference equation, periodic solution, globally asymptotically stable

Abstract

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.