## On the global character of the system $$x_{n+1}=\frac\alpha{x_n+y_n}$$ and $$y_{n+1}=\frac {y_n}{Bx_n+y_n}$$.(English)Zbl 1220.39012

The authors investigate the boundedness of solutions of a rational parameterized system with positive denominators. Necessary and sufficient conditions for the boundedness of solutions are explicitly stated in terms of the parameters.

### MSC:

 39A20 Multiplicative and other generalized difference equations 39A22 Growth, boundedness, comparison of solutions to difference equations

### Keywords:

boundedness; system of rational difference equations