Riccati Transformation and Non-Oscillation Criterion for Half-Linear Difference Equations
| Authors | |
|---|---|
| Year of publication | 2024 |
| Type | Article in Periodical |
| Magazine / Source | Bulletin of the Malaysian Mathematical Sciences Society |
| MU Faculty or unit | |
| Citation | |
| Web | https://link.springer.com/article/10.1007/s40840-024-01745-w |
| Doi | http://dx.doi.org/10.1007/s40840-024-01745-w |
| Keywords | Half-linear equation; Difference equation; Non-oscillation; Oscillation theory; Riccati equation |
| Description | In this paper, we study a general class of half-linear difference equations. Applying a version of the discrete Riccati transformation, we prove a non-oscillation criterion for the analyzed equations. In the formulation of the criterion, we do not use auxiliary sequences, but we consider directly the coefficients of the treated equations. Since the obtained criterion is new in many cases, we also formulate new simple corollaries and mention illustrative examples. |
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