On the Solutions of a Fourth Order Difference Equation

In this paper, we solve and study the global behavior of the well defined solutions of the difference equation $$x_{n+1}=\frac{x_{n}x_{n-3}}{Ax_{n-2}+Bx_{n-3}}, \quad n=0,1,...,$$ where $A, B>0$ and the initial values $x_{-i}$, $i\in\{0,1,2,3\}$ are real numbers.

Bibliographic Details
Main Author: R Abo-zeıd
Format: Article
Language:English
Published: Emrah Evren KARA 2021-06-01
Series:Universal Journal of Mathematics and Applications
Subjects:
Online Access:https://dergipark.org.tr/tr/download/article-file/1711263