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Zbl 1052.39005
El-Owaidy, H.M.; Ahmed, A.M.; Mousa, M.S.
On asymptotic behaviour of the difference equation $x_{n+1} = \alpha+\frac{x_{n-1}^p}{x_n^p}$.
(English)
[J] J. Appl. Math. Comput. 12, No. 1-2, 31-37 (2003). ISSN 1598-5865; ISSN 1865-2085/e

The authors investigate the oscillation with respect to the equilibrium, and the asymptotic behaviour of the positive solutions to the difference equation $$x_{n+1}=\alpha+(x_{n-1}/x_n)^p,\, n=0,1,\dots,$$ where $\alpha\geq 0$ and $p\geq 1$.
[Eduardo Liz (Vigo)]
MSC 2000:
*39A11 Stability of difference equations
39A20 Generalized difference equations

Keywords: difference equations; asymptotic behaviour; oscillatory solutions; positive solutions

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