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:	Pedro Almenar, Lucas Jódar
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	<i>n</i>-th order linear differential equation two-point boundary value problem sign-regular kernel eigenvalue eigenfunction Collatz–Wielandt numbers Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/bc2eb4fb9a004314a1abfc90ffd9d909
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spelling	oai:doaj.org-article:bc2eb4fb9a004314a1abfc90ffd9d9092021-11-11T18:14:11ZAccurate Estimations of Any Eigenpairs of <i>N</i>-th Order Linear Boundary Value Problems10.3390/math92126632227-7390https://doaj.org/article/bc2eb4fb9a004314a1abfc90ffd9d9092021-10-01T00:00:00Zhttps://www.mdpi.com/2227-7390/9/21/2663https://doaj.org/toc/2227-7390This 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.Pedro AlmenarLucas JódarMDPI AGarticle<i>n</i>-th order linear differential equationtwo-point boundary value problemsign-regular kerneleigenvalueeigenfunctionCollatz–Wielandt numbersMathematicsQA1-939ENMathematics, Vol 9, Iss 2663, p 2663 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	<i>n</i>-th order linear differential equation two-point boundary value problem sign-regular kernel eigenvalue eigenfunction Collatz–Wielandt numbers Mathematics QA1-939
spellingShingle	<i>n</i>-th order linear differential equation two-point boundary value problem sign-regular kernel eigenvalue eigenfunction Collatz–Wielandt numbers Mathematics QA1-939 Pedro Almenar Lucas Jódar Accurate Estimations of Any Eigenpairs of <i>N</i>-th Order Linear Boundary Value Problems
description	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.
format	article
author	Pedro Almenar Lucas Jódar
author_facet	Pedro Almenar Lucas Jódar
author_sort	Pedro Almenar
title	Accurate Estimations of Any Eigenpairs of <i>N</i>-th Order Linear Boundary Value Problems
title_short	Accurate Estimations of Any Eigenpairs of <i>N</i>-th Order Linear Boundary Value Problems
title_full	Accurate Estimations of Any Eigenpairs of <i>N</i>-th Order Linear Boundary Value Problems
title_fullStr	Accurate Estimations of Any Eigenpairs of <i>N</i>-th Order Linear Boundary Value Problems
title_full_unstemmed	Accurate Estimations of Any Eigenpairs of <i>N</i>-th Order Linear Boundary Value Problems
title_sort	accurate estimations of any eigenpairs of <i>n</i>-th order linear boundary value problems
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/bc2eb4fb9a004314a1abfc90ffd9d909
work_keys_str_mv	AT pedroalmenar accurateestimationsofanyeigenpairsofinithorderlinearboundaryvalueproblems AT lucasjodar accurateestimationsofanyeigenpairsofinithorderlinearboundaryvalueproblems
_version_	1718431907836854272

Accurate Estimations of Any Eigenpairs of <i>N</i>-th Order Linear Boundary Value Problems

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