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dc.creatorFerreira González, Cheloes_ES
dc.creatorLópez García, José Luises_ES
dc.creatorPérez Sinusía, Esteres_ES
dc.date.accessioned2020-07-03T12:54:12Z
dc.date.available2020-07-03T12:54:12Z
dc.date.issued2020
dc.identifier.issn1417-3875
dc.identifier.urihttps://hdl.handle.net/2454/37299
dc.description.abstractWe consider the second-order linear differential equation (x2 − 1)y'' + f (x)y′ + g(x)y = h(x) in the interval (−1, 1) with initial conditions or boundary conditions (Dirichlet, Neumann or mixed Dirichlet–Neumann). The functions f, g and h are analytic in a Cassini disk Dr with foci at x = ±1 containing the interval [−1, 1]. Then, the two end points of the interval may be regular singular points of the differential equation. The two-point Taylor expansion of the solution y(x) at the end points ±1 is used to study the space of analytic solutions in Dr of the differential equation, and to give a criterion for the existence and uniqueness of analytic solutions of the boundary value problem. This method is constructive and provides the two-point Taylor appro-ximation of the analytic solutions when they exist.en
dc.description.sponsorshipThe Ministerio de Economía y Competitividad (project MTM2017-83490-P) and Gobierno de Aragón (project E24_17R) are acknowledged by their financial support.en
dc.format.extent21 p.
dc.format.mimetypeapplication/pdfen
dc.language.isoengen
dc.publisherUniversity of Szeged (Hungría)en
dc.relation.ispartofElectronic Journal of Qualitative Theory of Differential Equations, 2020, 22, 1-21en
dc.subjectSecond-order linear differential equationsen
dc.subjectRegular singular pointen
dc.subjectBoundary value problemen
dc.subjectFrobenius methoden
dc.subjectTwo-point Taylor expansionen
dc.titleAnalysis of singular one-dimensional linear boundary value problems using two-point Taylor expansionsen
dc.typeinfo:eu-repo/semantics/articleen
dc.typeArtículo / Artikuluaes
dc.contributor.departmentUniversidad Pública de Navarra. Departamento de Estadística, Informática y Matemáticases_ES
dc.contributor.departmentNafarroako Unibertsitate Publikoa. Estatistika, Informatika eta Matematikak Sailaeu
dc.contributor.departmentUniversidad Pública de Navarra / Nafarroako Unibertsitate Publikoa. InaMat - Institute for Advanced Materialses_ES
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen
dc.rights.accessRightsAcceso abierto / Sarbide irekiaes
dc.identifier.doi10.14232/ejqtde.2020.1.22
dc.relation.projectIDinfo:eu-repo/grantAgreement/ES/2PE/MTM2017-83490-Pen
dc.relation.publisherversionhttps://doi.org/10.14232/ejqtde.2020.1.22
dc.type.versioninfo:eu-repo/semantics/publishedVersionen
dc.type.versionVersión publicada / Argitaratu den bertsioaes


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