Accurate estimations of Any Eigenpairs of N-th Order Linear Boundary Value Problems
[EN] This paper provides a method to bound and calculate any eigenvalues and eigenfunctions of n-th order boundary value problems with sign-regular kernels subject to two-point boundary conditions. The method is based on the selection of a particular type of cone for each eigenpair to be determined,...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2021 |
| 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:10251/181541 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/181541 |
| Access Level: | acceso abierto |
| Palabra clave: | N-th order linear differential equation Two-point boundary value problem Sign-regular kernel Eigenvalue Eigenfunction Collatz-Wielandt numbers |
| Sumario: | [EN] This paper provides a method to bound and calculate any eigenvalues and eigenfunctions of n-th order boundary value problems with sign-regular kernels subject to two-point boundary conditions. The method is based on the selection of a particular type of cone for each eigenpair to be determined, the recursive application of the operator associated to the equivalent integral problem to functions belonging to such a cone, and the calculation of the Collatz-Wielandt numbers of the resulting functions. |
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