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Regular boundary value problems on a path throughout Chebyshev Polynomials
dc.contributor.author | Bendito Pérez, Enrique |
dc.contributor.author | Carmona Mejías, Ángeles |
dc.contributor.author | Encinas Bachiller, Andrés Marcos |
dc.contributor.author | Gesto Beiroa, José Manuel |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III |
dc.date.accessioned | 2006-12-01T17:06:32Z |
dc.date.available | 2006-12-01T17:06:32Z |
dc.date.issued | 2006-08 |
dc.identifier.uri | http://hdl.handle.net/2117/587 |
dc.description.abstract | In this work we study the different types of regular boundary value problems on a path associated with the Schrödinger operator. In particular, we obtain the Green function for each problem and we emphasize the case of Sturm-Liouville boundary conditions. In addition, we study the periodic boundary value problem that corresponds to the Poisson equation in a cycle. In any case, the Green functions are given in terms of Chebyshev polynomials since they verify a recurrence law similar to the one verified by the Schrödinger operator on a path. |
dc.language.iso | eng |
dc.rights | Attribution-NonCommercial-NoDerivs 2.5 Generic |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/2.5/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica discreta |
dc.subject.lcsh | Boundary value problems |
dc.subject.lcsh | Chebyshev polynomials |
dc.subject.other | Discrete Schrödinger operator |
dc.subject.other | boundary value problems |
dc.subject.other | paths |
dc.subject.other | Chebyshev polynomials |
dc.subject.other | Green functions |
dc.title | Regular boundary value problems on a path throughout Chebyshev Polynomials |
dc.type | Article |
dc.subject.lemac | Chebyshev, Polinomis de |
dc.subject.lemac | Problemes extrems (Matemàtica) |
dc.contributor.group | Universitat Politècnica de Catalunya. VARIDIS - Varietats Riemannianes Discretes i Teoria del Potencial |
dc.subject.ams | Classificació AMS::34 Ordinary differential equations::34B Boundary value problems {For ordinary differential operators, see 34Lxx} |
dc.rights.access | Open Access |
dc.relation.projectidctt | BFM2003-06014 |
local.personalitzacitacio | true |
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