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On the solutions of the system of difference equations $x_{n+1}=\max\{A/x_n,y_n/x_n\}$, $y_{n+1}=\max\{A/y_n,x_n/y_n\}$. (English) Zbl 1178.39013
Summary: We study the behavior of the solutions of the following system of difference equations $$x_{n+1}=\max\{A/x_n,y_n/x_n\},\quad y_{n+1}=\max\{A/y_n,x_n/y_n\}$$ where the constant $A$ and the initial conditions are positive real numbers.

##### MSC:
 39A20 Generalized difference equations
Full Text:
##### References:
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