The principal eigenvalue of some nth order linear boundary value problems
[EN] The purpose of this paper is to present a procedure for the estimation of the smallest eigenvalues and their associated eigenfunctions of nth order linear boundary value problems with homogeneous boundary conditions defined in terms of quasi-derivatives. The procedure is based on the iterative...
| 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:10251/181755 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/181755 |
| Access Level: | acceso abierto |
| Palabra clave: | Eigenvalue Boundary value problem Quasi-derivatives Green function Cone theory Collatz-Wielandt numbers MATEMATICA APLICADA |
| Sumario: | [EN] The purpose of this paper is to present a procedure for the estimation of the smallest eigenvalues and their associated eigenfunctions of nth order linear boundary value problems with homogeneous boundary conditions defined in terms of quasi-derivatives. The procedure is based on the iterative application of the equivalent integral operator to functions of a cone and the calculation of the Collatz-Wielandt numbers of such functions. Some results on the sign of the Green functions of the boundary value problems are also provided. |
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