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Zbl 0962.39004
Amleh, A.M.; Grove, E.A.; Ladas, G.; Georgiou, D.A.
On the recursive sequence $x_{n+1}=\alpha+x_{n-1}/x_n$.
(English)
[J] J. Math. Anal. Appl. 233, No.2, 790-798 (1999). ISSN 0022-247X

Summary: We study the global stability, the boundedness character, and the periodic nature of the positive solutions of the difference equation $x_{n+1}= \alpha+ x_{n-1}/x_n$, where $\alpha \in[0, \infty)$, and where the initial conditions $x_{-1}$ and $x_0$ are arbitrary positive real numbers.
MSC 2000:
*39A11 Stability of difference equations

Keywords: period-2 solutions; global stability; boundedness; positive solutions; difference equation

Cited in: Zbl 1111.39003 Zbl 1053.39009

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