## On a third-order system of difference equations.(English)Zbl 1243.39011

Summary: We show that the system of difference equations $x_{n+1}=\frac{a_1x_{n-2}}{b_1y_nz_{n-1}x_{n-2}+c_1},\;y_{n+1}=\frac{a_2y_{n-2}}{b_2z_nx_{n-1}y_{n-2}+c_2},\;z_{n+1}=\frac{a_3z_{n-2}}{b_3x_ny_{n-1}z_{n-2}+c_3},\quad n\neq\mathbb{N}_0,$ where the parameters $$a_i,b_i,c_i$$, $$i\in\{1,2,3\}$$, and initial values $$x_{-j},y_{-j},z_{-j}$$, $$j\in\{0,1,2\}$$, are real numbers, can be solved, developing further the results in the literature.

### MSC:

 39A20 Multiplicative and other generalized difference equations
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### References:

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