On the Solutions of a Fourth Order Difference Equation

Authors : R ABOZEID

Pages : 76-81

Doi:10.32323/ujma.917838

View : 18 | Download : 11

Publication Date : 2021-06-30

Article Type : Research Paper

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