Abstract
In this paper, we give explicit formulas of the solutions of the system of max-type difference equations \[ x_{n+1}=\max \left\{ x_{n-1},\frac{x_{n}y_{n-1}}{y_{n-2}}\right\} ,\,y_{n+1}=\max \left\{ y_{n-1},\frac{y_{n}x_{n-1}}{x_{n-2}}\right\} , \] where $n\geq 0$ and the initial values are positive real numbers.
Version Information
The current pdf replaces the original pdf file, first available on 16 December 2021. The new version corrects the DOI prefix to read 10.32513.
Citation
Youssouf Akrour. Mouataz Billah Mesmouli. Durhasan Turgut Tollu. Nouressadat Touafek. "On the solutions of a system of max-type difference equations." Tbilisi Math. J. 14 (4) 159 - 187, December 2021. https://doi.org/10.32513/asetmj/1932200820
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