Accurate Estimations of Any Eigenpairs of <i>N</i>-th Order Linear Boundary Value Problems
This paper provides a method to bound and calculate any eigenvalues and eigenfunctions of <i>n</i>-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...
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| Autores principales: | , |
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| Formato: | article |
| Lenguaje: | EN |
| Publicado: |
MDPI AG
2021
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| Materias: | |
| Acceso en línea: | https://doaj.org/article/bc2eb4fb9a004314a1abfc90ffd9d909 |
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| Sumario: | This paper provides a method to bound and calculate any eigenvalues and eigenfunctions of <i>n</i>-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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