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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The Thai Journal of Mathematics is supported by The Mathematical Association of Thailand and Thailand Research Council and the Center for Promotion of Mathematical Research of Thailand (CEPMART).

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|ISSN 1686-0209|