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

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

Published:2011-11-10 Issue:1 Volume:31 Page:43
ISSN:2175-1188
Container-title:Boletim da Sociedade Paranaense de Matemática
language:
Short-container-title:B Soc Paran Mat

Author:

Abo-Zeid R.,Cinar Cengiz

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.

Publisher

Sociedade Paranaense de Matematica

Subject

General Mathematics

Reference6 articles.

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3. 3. E. A. Grove, G. Ladas, Periodicities in Nonlinear Difference Equations, Chapman and Hall/CRC, 2005.

4. 4. V. L. Kocic, G. Ladas, Global Behavior of Nonlinear Difference Equations of Higher Order with Applications, Kluwer Academic, Dordrecht 1993.

5. 5. M. R. S. Kulenovic and G. Ladas, Dynamics of second order rational Difference Equations; With Open Problems and Conjectures, Chapman and Hall/HRC Boca Raton, 2002.

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