New results on the sign of the Green function of a two-point n-th order linear boundary value problem
[EN] This paper provides conditions for determining the sign of all the partial derivatives of the Green functions of n-th order boundary value problems subject to a wide set of homogeneous two-point boundary conditions, removing restrictions of previous results about the distance between the two ex...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2022 |
| País: | España |
| Institución: | Universitat Politècnica de València (UPV) |
| Repositorio: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglés |
| OAI Identifier: | oai:riunet.upv.es:10251/198422 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/198422 |
| Access Level: | acceso abierto |
| Palabra clave: | N-th order linear differential equation Two-point boundary value problem Green function Hyperdisfocality MATEMATICA APLICADA |
| Sumario: | [EN] This paper provides conditions for determining the sign of all the partial derivatives of the Green functions of n-th order boundary value problems subject to a wide set of homogeneous two-point boundary conditions, removing restrictions of previous results about the distance between the two extremes that define the problem. To do so, it analyzes the sign of the derivatives of the solutions of related two-point n-th order boundary value problems subject to n ¿ 1 boundary conditions by introducing a new property denoted by `hyperdisfocality¿ |
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