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, periodicnature, oscillation and the boundedness of all admissible solutions of the difference equationx_{n+1} =frac{Ax_{n−1}} {B − Cx_nx_{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 2013-02-01
Series:Boletim da Sociedade Paranaense de Matemática
Subjects:
Online Access:http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/14432
Description
Summary:The aim of this work is to investigate the global stability, periodicnature, oscillation and the boundedness of all admissible solutions of the difference equationx_{n+1} =frac{Ax_{n−1}} {B − Cx_nx_{n−2}}, n = 0, 1, 2, . . .where A,B,C are positive real numbers.
ISSN:0037-8712
2175-1188