Second-order Emden–Fowler neutral differential equations: A new precise criterion for oscillation.
[EN]This study aims at offering a new criterion for the oscillation of the solutions of Emden–Fowler second-order neutral differential equations. The approach used presents a non-traditional Riccati substitution and takes into account all the delay functions, which had been neglected in previous ana...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2021 |
| País: | España |
| Institución: | Universidad de Salamanca (USAL) |
| Repositorio: | GREDOS. Repositorio Institucional de la Universidad de Salamanca |
| OAI Identifier: | oai:gredos.usal.es:10366/156714 |
| Acceso en línea: | http://hdl.handle.net/10366/156714 |
| Access Level: | acceso abierto |
| Palabra clave: | An improved criterion Neutral differential equations Second-order Nonstandard Riccati substitution 12 Matemáticas |
| Sumario: | [EN]This study aims at offering a new criterion for the oscillation of the solutions of Emden–Fowler second-order neutral differential equations. The approach used presents a non-traditional Riccati substitution and takes into account all the delay functions, which had been neglected in previous analyses. The new results essentially improve and simplify some well-known results reported in the literature. Furthermore, the new criterion provides precise results in the ordinary case (e.g. Euler-type equations), whereas the existing results fail in this case. |
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