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ON THE STABILITY OF A THIRD ORDER DIFFERENCE EQUATION

Authors: Erkan TAŞDEMİR; Tülin ERDOĞAN TAŞDEMİR;

ON THE STABILITY OF A THIRD ORDER DIFFERENCE EQUATION

Abstract

In this paper, we are investigated the equilibrium points of difference equation x_(n+1)=x_(n-1) x_(n-2)+A, where A is a positive real number and the initial conditions are positive. We are also studied the local asymptotic stability of related difference equation. Particularly, we are examined the convergence of solutions of related equation. .

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Keywords

Difference equations, Engineering, convergence, Fark denklemleri;kararlılık;yakınsaklık, Mühendislik, yakınsaklık, kararlılık, Fark denklemleri, stability, Difference equations;stability;convergence

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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!
0
Average
Average
Average
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gold