On some fractional systems of difference equations. (English) Zbl 1317.39015
The paper deals with solutions of the system of difference equations
\[
x_{n+1}=\frac{y_{n-3}y_nx_{n-2}}{y_{n-3}x_{n-2}\pm y_{n-3}y_n\pm y_nx_{n-2}},\quad y_{n+1}=\frac{y_{n-2}x_{n-1}}{2y_{n-2}\pm x_{n-1}}. \tag{\(*\)}
\]
Explicit formulas for solutions in terms of initial conditions are given. Periodicity and convergence of solutions of (\(*\)) are investigated as well.
Reviewer: Ondřej Došlý (Brno)
MSC:
| 39A20 | Multiplicative and other generalized difference equations |
| 39A22 | Growth, boundedness, comparison of solutions to difference equations |
| 39A23 | Periodic solutions of difference equations |
