Analysis of singular one-dimensional linear boundary value problems using two-point Taylor expansions

Ferreira González, Chelo; López García, José Luis; Pérez Sinusía, Ester

Publication:
Analysis of singular one-dimensional linear boundary value problems using two-point Taylor expansions

dc.contributor.author	Ferreira González, Chelo
dc.contributor.author	López García, José Luis
dc.contributor.author	Pérez Sinusía, Ester
dc.contributor.department	Estatistika, Informatika eta Matematika	eu
dc.contributor.department	Institute for Advanced Materials and Mathematics - INAMAT2	en
dc.contributor.department	Estadística, Informática y Matemáticas	es_ES
dc.date.accessioned	2020-07-03T12:54:12Z
dc.date.available	2020-07-03T12:54:12Z
dc.date.issued	2020
dc.description.abstract	We 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.sponsorship	The 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.extent	21 p.
dc.format.mimetype	application/pdf	en
dc.identifier.doi	10.14232/ejqtde.2020.1.22
dc.identifier.issn	1417-3875
dc.identifier.uri	https://academica-e.unavarra.es/handle/2454/37299
dc.language.iso	eng	en
dc.publisher	University of Szeged (Hungría)	en
dc.relation.ispartof	Electronic Journal of Qualitative Theory of Differential Equations, 2020, 22, 1-21	en
dc.relation.projectID	info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2017-83490-P/ES/	en
dc.relation.publisherversion	https://doi.org/10.14232/ejqtde.2020.1.22
dc.rights.accessRights	info:eu-repo/semantics/openAccess	en
dc.rights.accessRights	Acceso abierto / Sarbide irekia	es
dc.subject	Second-order linear differential equations	en
dc.subject	Regular singular point	en
dc.subject	Boundary value problem	en
dc.subject	Frobenius method	en
dc.subject	Two-point Taylor expansion	en
dc.title	Analysis of singular one-dimensional linear boundary value problems using two-point Taylor expansions	en
dc.type	info:eu-repo/semantics/article	en
dc.type	Artículo / Artikulua	es
dc.type.version	info:eu-repo/semantics/publishedVersion	en
dc.type.version	Versión publicada / Argitaratu den bertsioa	es
dspace.entity.type	Publication
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