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MR2015782 17B05
Kent, C. M.; Radin, M. A. On the boundedness nature of positive solutions of the difference equation $x_{n+1}=\max\{\frac{A_n}{x_n},\frac{B_n}{x_{n-1}}\}$ with periodic parameters. Engineering applications and computational algorithms (Guelph, ON, 2003). Dyn. Contin. Discrete Impuls. Syst. Ser. B Appl. Algorithms 2003, suppl., 11–15.
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