### On the Solutions of a Third Order Rational Difference Equation

*Raafat Abo-Zeid, Hossam Kamal*

#### Abstract

In this paper, we discuss the global behavior of all admissible solutions of the difference equation

$$x_{n+1}=\frac{Ax_{n-2}}{B- Cx_{n}x_{n-1}x_{n-2}},\quad n=0,1,\ldots, $$

where $A,B,C$ are positive real numbers and the initial conditions $x_{-2},x_{-1},x_0$ are real numbers.

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|ISSN 1686-0209|