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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) Zbl 1052.39005

J. Appl. Math. Comput. 12, No. 1-2, 31-37 (2003).
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 \(p\geq 1\).
Reviewer: Eduardo Liz (Vigo)

Cited in 33 Documents

MSC:

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

Keywords:

difference equations; asymptotic behaviour; oscillatory solutions; positive solutions
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\textit{H. M. El-Owaidy} et al., J. Appl. Math. Comput. 12, No. 1--2, 31--37 (2003; Zbl 1052.39005)
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References:

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