Camouzis, Elias; Drymonis, E.; Ladas, G. 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 Commun. Appl. Nonlinear Anal. 16, No. 2, 51-64 (2009). 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. Reviewer: Mingshu Peng (Beijing) Cited in 1 Document MSC: 39A20 Multiplicative and other generalized difference equations 39A22 Growth, boundedness, comparison of solutions to difference equations Keywords:boundedness; system of rational difference equations PDF BibTeX XML Cite \textit{E. Camouzis} et al., Commun. Appl. Nonlinear Anal. 16, No. 2, 51--64 (2009; Zbl 1220.39012) OpenURL