On asymptotic behaviour of the difference equation \(x_{n+1} = \alpha+\frac{x_{n-1}^p}{x_n^p}\).
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 \(p\geq 1\).
scientific article; zbMATH DE number 2076571
scientific article