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On the oscillation of a third order rational difference equation

descriptionPublicationkeyboard_double_arrow_right Article 01 Apr 2015 English Publisher:Egyptian Knowledge BankJournal:Journal of the Egyptian Mathematical Society, volume 23, pages 62-66 (issn: 1110-256X, Copyright policy )
Authors: R. Abo-Zeid;

doi: 10.1016/j.joems.2014.03.001

On the oscillation of a third order rational difference equation

Abstract

AbstractIn this paper, we discuss the global asymptotic stability of all solutions of the difference equationxn+1=Axn-2B+Cxnxn-1xn-2,n=0,1,…where A,B,C are positive real numbers and the initial conditions x-2,x-1,x0 are real numbers. Although we have an explicit formula for the solutions of that equation, the oscillation character is worth to be discussed.

Keywords

Oscillation, Periodic solution, Difference equation, Locally asymptotically stable

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
8
Average
Average
Top 10%
gold