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On the max-type difference equation $$x_{n+1}=\max\{A/x_n,x_{n - 3}\}$$. (English) Zbl 1188.39016
Summary: We show that every well-defined solution of the fourth-order difference equation
$x_{n+1}=\max\{A/x_n,x_{n-3}\}, \quad n\in \mathbb N_0,$ where parameter $$A\geq 0$$, is eventually periodic with period four.

##### MSC:
 39A23 Periodic solutions of difference equations 39A20 Multiplicative and other generalized difference equations, e.g., of Lyness type
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##### References:
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