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 1178.39013Summary: 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.

\[ x_{n+1}=\max\{A/x_n,y_n/x_n\},\quad y_{n+1}=\max\{A/y_n,x_n/y_n\} \] where the constant \(A\) and the initial conditions are positive real numbers.

##### MSC:

39A20 | Multiplicative and other generalized difference equations |

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\textit{D. Simsek} et al., Discrete Dyn. Nat. Soc. 2009, Article ID 325296, 11 p. (2009; Zbl 1178.39013)

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