On the Solutions of a Fourth Order Difference Equation

Year 2021, , 76 - 81, 30.06.2021

R Abo-zeıd

https://doi.org/10.32323/ujma.917838

Cited By: 2

Abstract

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.

Keywords

difference equation, invariant set, forbidden set, convergence

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