On the solutions of systems of rational difference equations. (English) Zbl 1255.39011
Summary: We deal with the periodic nature and the form of the solutions of the following systems of rational difference equations
\[
x_{n+1}=\frac{x_{n-3}}{\pm1\pm x_{n-3}y_{n-1}},\quad y_{n+1}=\frac{y_{n-3}}{\pm1\pm y_{n-3}x_{n-1}}
\]
with a nonzero real number’s initial conditions.
MSC:
| 39A23 | Periodic solutions of difference equations |
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