Regular boundary value problems on a path throughout Chebyshev Polynomials

Home | About RECERCAT | Contact

Català | Castellano

All of RECERCAT

By Communities &
Collections By Defense Date By Authors By Titles By Subject

This Collection

By Defense Date By Authors By Titles By Subject

Statistics

View Statistics All RECERCAT

My RECERCAT

Other repositories directory

RECERCAT Home > Universitat Politècnica de Catalunya > Documents de recerca > View document

To access the full text documents, please follow this link: http://hdl.handle.net/2117/587

Title:	Regular boundary value problems on a path throughout Chebyshev Polynomials
Author:	Bendito Pérez, Enrique; Carmona Mejías, Ángeles; Encinas Bachiller, Andrés Marcos; Gesto Beiroa, José Manuel
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III; Universitat Politècnica de Catalunya. VARIDIS - Varietats Riemannianes Discretes i Teoria del Potencial
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.
Subject(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica discreta -Boundary value problems -Chebyshev polynomials -Discrete Schrödinger operator -boundary value problems -paths -Chebyshev polynomials -Green functions -Chebyshev, Polinomis de -Problemes extrems (Matemàtica) -Classificació AMS::34 Ordinary differential equations::34B Boundary value problems {For ordinary differential operators, see 34Lxx}
Rights:	Attribution-NonCommercial-NoDerivs 2.5 Generic http://creativecommons.org/licenses/by-nc-nd/2.5/
Document type:	Article
Share:

Show full item record

All of RECERCAT

This Collection

Statistics

My RECERCAT

Related documents

Other documents of the same author