Half-linear discrete oscillation theory
| Authors | |
|---|---|
| Year of publication | 2000 |
| Type | Article in Proceedings |
| Conference | Proceedings of The 6'th Colloquium on the Qualitative Theory of Differential Equations (August 10--14, 1999, Szeged, Hungary) |
| MU Faculty or unit | |
| Citation | |
| Field | General mathematics |
| Description | Oscillatory properties of the second order half-linear difference equation $$ \trr(r_k|\trr y_k|^{\alpha-2}\trr y_k)+p_k|y_{k+1}|^{\ad}y_{k+1}=0, $$ where $\alpha>1$, are investigated. A particular attention is devoted to the connection with oscillation theory of its continuous counterpart, half--linear differential equation and also with the theory of linear differential and difference equations. We present not only the overview of the existing results but we also establish new oscillation and nonoscillation criteria. |
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