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Zbl 1062.39008
Gibbons, C.H.; Kulenović, M.R.S.; Ladas, G.
On the dynamics of $x_{n+1}=\frac{\alpha+\beta x_n+\gamma x_{n-1}}{A+B x_n}$.
(English)
[A] Elaydi, S. (ed.) et al., New trends in difference equations. Proceedings of the 5th international conference on difference equations and applications, Temuco, Chile, January 2--7, 2000. London: Taylor \& Francis. 141-158 (2002). ISBN 0-415-28389-2/hbk

Summary: We investigate the boundedness character, the periodic nature, and the global behavior of solutions of the equation in the title with nonnegative parameters and nonnegative initial conditions.
MSC 2000:
*39A11 Stability of difference equations
39A20 Generalized difference equations

Keywords: bounded solution; multiplicative difference equation; periodic solution; positive solution; semicycles; period two solutions; oscillation; global asymptotic stability

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