Periodic solutions of the Lyness max equation. (English) Zbl 1042.39002

The author considers the difference equation \(x_{n+1}= \max(x_n, A)/(x^l_n x_{n-1})\) with positive \(A\) and positive initial values in the two cases \(l=0\) and \(l=1\), respectively. He looks for periodic solutions and determines the possible periods.


39A11 Stability of difference equations (MSC2000)
39A20 Multiplicative and other generalized difference equations
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