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dc.creatorFerreira González, Cheloes_ES
dc.creatorLópez García, José Luises_ES
dc.creatorPérez Sinusía, Esteres_ES
dc.date.accessioned2018-12-14T12:04:15Z
dc.date.available2020-07-15T23:00:11Z
dc.date.issued2018
dc.identifier.issn0022-247X (Print)
dc.identifier.urihttps://hdl.handle.net/2454/31777
dc.description.abstractWe consider the second-order linear differential equation (x + 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(x), g(x) and h(x) are analytic in a Cassini disk Dr with foci at x = ±1 containing the interval [−1, 1]. Then, the end point of the interval x = −1 may be a regular singular point 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 approximation of the analytic solutions when they exist.en
dc.description.sponsorshipThe Ministerio de Economía y Competitividad (REF. MTM2014-52859-P) is acknowledged by its financial support.en
dc.format.extent18 p.
dc.format.mimetypeapplication/pdfen
dc.language.isoengen
dc.publisherElsevieren
dc.relation.ispartofJournal of Mathematical Analysis and Applications, 463 (2018) 708-725en
dc.rights© 2018 Elsevier Inc. The manuscript version is made available under the CC BY-NC-ND 4.0 license.en
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectSecond-order linear differential equationsen
dc.subjectRegular singular pointen
dc.subjectBoundary value problemen
dc.subjectFrobenius methoden
dc.subjectTwo-point Taylor expansionsen
dc.titleThe use of two-point Taylor expansions in singular one-dimensional boundary value problems Ien
dc.typeinfo:eu-repo/semantics/articleen
dc.typeArtículo / Artikuluaes
dc.contributor.departmentIngeniería Matemática e Informáticaes_ES
dc.contributor.departmentMatematika eta Informatika Ingeniaritzaeu
dc.contributor.departmentInstitute for Advanced Materials and Mathematics - INAMAT2es_ES
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen
dc.rights.accessRightsAcceso abierto / Sarbide irekiaes
dc.embargo.terms2020-07-15
dc.identifier.doi10.1016/j.jmaa.2018.03.041
dc.relation.projectIDinfo:eu-repo/grantAgreement/MINECO//MTM2014-52859-P/ES/en
dc.relation.publisherversionhttps://doi.org/10.1016/j.jmaa.2018.03.041
dc.type.versioninfo:eu-repo/semantics/acceptedVersionen
dc.type.versionVersión aceptada / Onetsi den bertsioaes


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© 2018 Elsevier Inc. The manuscript version is made available under the CC BY-NC-ND 4.0 license.
La licencia del ítem se describe como © 2018 Elsevier Inc. The manuscript version is made available under the CC BY-NC-ND 4.0 license.

El Repositorio ha recibido la ayuda de la Fundación Española para la Ciencia y la Tecnología para la realización de actividades en el ámbito del fomento de la investigación científica de excelencia, en la Línea 2. Repositorios institucionales (convocatoria 2020-2021).
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