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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
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