Green's functions and spectral theory for the Hill's Equation

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dc.contributor.affiliationUniversidade de Santiago de Compostela. Departamento de Análise Matemática
dc.contributor.affiliationUniversidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimización
dc.contributor.authorCabada Fernández, Alberto
dc.contributor.authorCid Araújo, José Ángel
dc.contributor.authorLópez Somoza, Lucía
dc.date.accessioned2026-02-02T09:59:43Z
dc.date.available2026-02-02T09:59:43Z
dc.date.issued2016-08-05
dc.description.abstractThe aim of this paper is to show certain properties of the Green’s functions related to the Hill’s equation coupled with various two point boundary value conditions. We will obtain the expression of the Green’s function of Neumann, Dirichlet, Mixed and anti-periodic problems as a combination of the Green’s function related to periodic ones. As a consequence we will prove suitable results in spectral theory and deduce some comparison results for the solutions of the Hill’s equation with various boundary value conditions
dc.description.peerreviewedSI
dc.identifier.citationAlberto Cabada, José A. Cid, Lucía López-Somoza, Green’s functions and spectral theory for the Hill’s equation, Applied Mathematics and Computation, Volume 286, 2016, Pages 88-105, ISSN 0096-3003, https://doi.org/10.1016/j.amc.2016.03.039. (https://www.sciencedirect.com/science/article/pii/S0096300316302405)
dc.identifier.doi10.1016/j.amc.2016.03.039
dc.identifier.essn1873-5649
dc.identifier.issn0096-3003
dc.identifier.urihttps://hdl.handle.net/10347/45627
dc.journal.titleApplied Mathematics and Computation
dc.language.isoeng
dc.page.final105
dc.page.initial88
dc.publisherElsevier
dc.relation.publisherversionhttps://doi.org/10.1016/j.amc.2016.03.039
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internationalen
dc.rights.accessRightsopen access
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectGreen’s function
dc.subjectPeriodic problem
dc.subjectSeparated boundary conditions
dc.subjectSpectral theory
dc.subjectComparison results
dc.subject.classification1202 Análisis y análisis funcional
dc.titleGreen's functions and spectral theory for the Hill's Equation
dc.typejournal article
dc.type.hasVersionAM
dc.volume.number286
dspace.entity.typePublication
relation.isAuthorOfPublication72eb316c-075b-4d19-8242-bf6cbcd8a2cc
relation.isAuthorOfPublicatione77d8fbd-a899-4480-9703-072da1798862
relation.isAuthorOfPublication.latestForDiscovery72eb316c-075b-4d19-8242-bf6cbcd8a2cc

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