A remark on Philos-type oscillation criteria for differential equations
The purpose of this short note is to call attention to expressions of Philostype criteria for the oscillation of solutions of a simple differential equation. A perfect square expression is used to obtain an evaluation that plays an essential role in the proof of Philos-type oscillation theorems. The...
Elmentve itt :
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2020
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Differenciálegyenlet |
| doi: | 10.14232/ejqtde.2020.1.18 |
| Online Access: | http://acta.bibl.u-szeged.hu/69522 |
| Tartalmi kivonat: | The purpose of this short note is to call attention to expressions of Philostype criteria for the oscillation of solutions of a simple differential equation. A perfect square expression is used to obtain an evaluation that plays an essential role in the proof of Philos-type oscillation theorems. The required condition is pointed out when using the perfect square expression. To simplify the discussion, here we deal with two second-order linear differential equations, but its content is also applied to a variety of equations. |
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| ISSN: | 1417-3875 |