Global behavior of a third order difference equation

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Published: Sep 30, 2012
DOI: https://doi.org/10.5556/j.tkjm.43.2012.801
Keywords:
difference equation periodic solution globally

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Raafat Abo-zeid

Abstract

The aim of this paper is to investigate the global stability and periodic nature of the positive solutions of the difference equation\[x_{n+1}=\frac{A+Bx_{n-1}}{C+Dx_{n}x_{n-2}},\qquad n=0,1,2,\ldots\] where $A,B$ are nonnegative real numbers and$C, D>0$.

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How to Cite
Abo-zeid, R. (2012). Global behavior of a third order difference equation. Tamkang Journal of Mathematics, 43(3), 375–384. https://doi.org/10.5556/j.tkjm.43.2012.801
Issue
Vol. 43 No. 3 (2012)
Section
Papers

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