Oscillation criterion for linear equations with coefficients containing powers of natural logarithm
| Authors | |
|---|---|
| Year of publication | 2024 |
| Type | Article in Periodical |
| Magazine / Source | Monatshefte für Mathematik |
| MU Faculty or unit | |
| Citation | |
| Web | https://link.springer.com/article/10.1007/s00605-023-01910-6 |
| Doi | http://dx.doi.org/10.1007/s00605-023-01910-6 |
| Keywords | Linear differential equation; Oscillation; Averaging technique; Prüfer angle; Logarithm |
| Description | Applying an averaging technique for the adapted Prüfer angle, we obtain an oscillation criterion for linear second order differential equations whose coefficients consist of products of powers of natural logarithm and general (bounded or unbounded) continuous functions. The presented criterion is illustrated by new corollaries and examples. The novelty is caused by the used averaging technique over unbounded intervals. |
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