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Zbl 1049.39026
DeVault, R.; Kent, C.; Kosmala, W.
On the recursive sequence $x_{n+1}=p+\frac{x_{n-k}}{x_n}$. (English)
[J] J. Difference Equ. Appl. 9, No. 8, 721-730 (2003). ISSN 1023-6198

For the difference equation in the title with $k\in \{2,3,\dots\}$, positive $p$ and positive initial values the authors investigate boundedness, global stability and periodic character of the solutions.
[Lothar Berg (Rostock)]

MSC 2000:: *39A20 Generalized difference equations
39A11 Stability of difference equations

Keywords: difference equation; global stability; boundedness; periodic solution

Cited in: Zbl 1095.39004

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Zentralblatt MATH Berlin [Germany]