Generalized discrete Riccati equation and oscillation of half-linear difference equations
| Authors | |
|---|---|
| Year of publication | 2001 |
| Type | Article in Periodical |
| Magazine / Source | Mathematical and Computer Modelling |
| MU Faculty or unit | |
| Citation | |
| Doi | http://dx.doi.org/10.1016/S0895-7177(01)00059-0 |
| Field | General mathematics |
| Keywords | Half-linear difference equation; Half-linear difference equation; |
| Description | Oscillation criteria for the second order half--linear difference equation $$ \trr(r_k|\trr y_k|^{\alpha-1}\sgn\trr y_k)+p_k|y_{k+1}|^{\aj}\sgn y_{k+1}=0, \quad \alpha>1, $$ to be oscillatory are obtained. These criteria are proved using the Riccati technique. |
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