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dc.contributor.authorBendito Pérez, Enrique
dc.contributor.authorCarmona Mejías, Ángeles
dc.contributor.authorEncinas Bachiller, Andrés Marcos
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III
dc.date.accessioned2006-10-02T17:59:53Z
dc.date.available2006-10-02T17:59:53Z
dc.date.issued2005-01
dc.identifier.urihttp://hdl.handle.net/2117/494
dc.description.abstractIn this work we study the different type of regular boundary value problems on a path associated with the Schr\"odinger operator. In particular, we get the Poisson kernel and the Green function for each problem and we emphasize the cases of Dirichlet, Neumann, Mixed and periodic problems. In any case, the Poisson kernel and the Green function are given in terms of second and third kind Chebyshev polynomials since they verify a recurrence law similar to the one verified by the Sch\"odinger operator on a path.
dc.format.extent37 p.
dc.language.isoeng
dc.rightsAttribution-NonCommercial-NoDerivs 2.5 Generic
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/2.5/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística
dc.subject.lcshDifference equations
dc.subject.lcshDifferential calculus
dc.subject.otherDiscrete operators
dc.subject.otherDiscrete green identity
dc.subject.otherVector calculus
dc.subject.otherNetwork cohomology
dc.titleVector Calculus on weighted networks
dc.typeArticle
dc.subject.lemacEquacions diferencials
dc.subject.lemacAnàlisi vectorial
dc.contributor.groupUniversitat Politècnica de Catalunya. VARIDIS - Varietats Riemannianes Discretes i Teoria del Potencial
dc.subject.amsClassificació AMS::39 Difference and functional equations ::39A Difference equations {For dynamical systems, see 37-xx}
dc.rights.accessOpen Access
dc.relation.projectidcttBFM2003-06014
local.personalitzacitaciotrue


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