- Universal Journal of Mathematics and Applications
- Vol: 4 Issue: 2
- On the Solutions of a Fourth Order Difference Equation
On the Solutions of a Fourth Order Difference Equation
Authors : R Abo-zeid
Pages : 76-81
Doi:10.32323/ujma.917838
View : 10 | Download : 6
Publication Date : 2021-06-30
Article Type : Research
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