Stability of the third order rational difference equation

In this paper, we examine the global stability and boundedness of the difference equation \[ x_{n+1}=\frac{\alpha x_{n}x_{n-1}+\beta x_{n}x_{n-2}}{\gamma {x}_{n-1}+\theta {x}_{n-2}}\]where the initial conditions are non zero real numbers and are positive constants such that \[\alpha+\beta\leq \...

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Bibliographic Details
Main Author: Mehmet Emre Erdoğan
Format: Article
Language:English
Published: Kyrgyz Turkish Manas University 2020-06-01
Series:MANAS: Journal of Engineering
Subjects:
Online Access:https://dergipark.org.tr/en/download/article-file/1170300