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

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.

Bibliographic Details
Main Authors: R. Abo-Zeid, Cengiz Cinar
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2013-11-01
Series:Boletim da Sociedade Paranaense de Matemática
Subjects:
Online Access:http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/14432