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The principal eigenvalue of some nth order linear boundary value problems

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The principal eigenvalue of some nth order linear boundary value problems

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dc.contributor.author Almenar, Pedro es_ES
dc.contributor.author Jódar Sánchez, Lucas Antonio es_ES
dc.date.accessioned 2022-04-05T06:28:28Z
dc.date.available 2022-04-05T06:28:28Z
dc.date.issued 2021-10-14 es_ES
dc.identifier.issn 1687-2762 es_ES
dc.identifier.uri http://hdl.handle.net/10251/181755
dc.description.abstract [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. es_ES
dc.language Inglés es_ES
dc.publisher Springer (Biomed Central Ltd.) es_ES
dc.relation.ispartof Boundary Value Problems es_ES
dc.rights Reconocimiento (by) es_ES
dc.subject Eigenvalue es_ES
dc.subject Boundary value problem es_ES
dc.subject Quasi-derivatives es_ES
dc.subject Green function es_ES
dc.subject Cone theory es_ES
dc.subject Collatz-Wielandt numbers es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title The principal eigenvalue of some nth order linear boundary value problems es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1186/s13661-021-01561-2 es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Almenar, P.; Jódar Sánchez, LA. (2021). The principal eigenvalue of some nth order linear boundary value problems. Boundary Value Problems. 2021:1-16. https://doi.org/10.1186/s13661-021-01561-2 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1186/s13661-021-01561-2 es_ES
dc.description.upvformatpinicio 1 es_ES
dc.description.upvformatpfin 16 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 2021 es_ES
dc.relation.pasarela S\456090 es_ES
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