A nodal inverse problem for second order Sturm-Liouville operators with indefinite weights

Autores
Pinasco, Juan Pablo; Scarola, Cristian
Año de publicación
2015
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this paper we study an inverse problem for weighted second order Sturm-Liouville equations. We show that the zeros of any subsequence of eigenfunctions, or a dense set of nodes, are enough to determine the weight. We impose weaker hypotheses for positive weights, and we generalize the proof to include indefinite weights. Moreover, the parameters in the boundary conditions can be determined numerically by using a shooting method.
Fil: Pinasco, Juan Pablo. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina
Fil: Scarola, Cristian. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
Materia
PROBLEMAS INVERSOS
AUTOVALORES
PUNTOS NODALES
PESOS INDEFINIDOS
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/93862
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/93862
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling A nodal inverse problem for second order Sturm-Liouville operators with indefinite weightsPinasco, Juan PabloScarola, CristianPROBLEMAS INVERSOSAUTOVALORESPUNTOS NODALESPESOS INDEFINIDOShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In this paper we study an inverse problem for weighted second order Sturm-Liouville equations. We show that the zeros of any subsequence of eigenfunctions, or a dense set of nodes, are enough to determine the weight. We impose weaker hypotheses for positive weights, and we generalize the proof to include indefinite weights. Moreover, the parameters in the boundary conditions can be determined numerically by using a shooting method.Fil: Pinasco, Juan Pablo. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; ArgentinaFil: Scarola, Cristian. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; ArgentinaElsevier Science Inc2015-04info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/93862Pinasco, Juan Pablo; Scarola, Cristian; A nodal inverse problem for second order Sturm-Liouville operators with indefinite weights; Elsevier Science Inc; Applied Mathematics and Computation; 256; 4-2015; 819-8300096-3003CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0096300315001332info:eu-repo/semantics/altIdentifier/doi/10.1016/j.amc.2015.01.101info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:09:45Zoai:ri.conicet.gov.ar:11336/93862instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 10:09:46.071CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv A nodal inverse problem for second order Sturm-Liouville operators with indefinite weights
title A nodal inverse problem for second order Sturm-Liouville operators with indefinite weights
spellingShingle A nodal inverse problem for second order Sturm-Liouville operators with indefinite weights
Pinasco, Juan Pablo
PROBLEMAS INVERSOS
AUTOVALORES
PUNTOS NODALES
PESOS INDEFINIDOS
title_short A nodal inverse problem for second order Sturm-Liouville operators with indefinite weights
title_full A nodal inverse problem for second order Sturm-Liouville operators with indefinite weights
title_fullStr A nodal inverse problem for second order Sturm-Liouville operators with indefinite weights
title_full_unstemmed A nodal inverse problem for second order Sturm-Liouville operators with indefinite weights
title_sort A nodal inverse problem for second order Sturm-Liouville operators with indefinite weights
dc.creator.none.fl_str_mv Pinasco, Juan Pablo
Scarola, Cristian
author Pinasco, Juan Pablo
author_facet Pinasco, Juan Pablo
Scarola, Cristian
author_role author
author2 Scarola, Cristian
author2_role author
dc.subject.none.fl_str_mv PROBLEMAS INVERSOS
AUTOVALORES
PUNTOS NODALES
PESOS INDEFINIDOS
topic PROBLEMAS INVERSOS
AUTOVALORES
PUNTOS NODALES
PESOS INDEFINIDOS
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv In this paper we study an inverse problem for weighted second order Sturm-Liouville equations. We show that the zeros of any subsequence of eigenfunctions, or a dense set of nodes, are enough to determine the weight. We impose weaker hypotheses for positive weights, and we generalize the proof to include indefinite weights. Moreover, the parameters in the boundary conditions can be determined numerically by using a shooting method.
Fil: Pinasco, Juan Pablo. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina
Fil: Scarola, Cristian. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
description In this paper we study an inverse problem for weighted second order Sturm-Liouville equations. We show that the zeros of any subsequence of eigenfunctions, or a dense set of nodes, are enough to determine the weight. We impose weaker hypotheses for positive weights, and we generalize the proof to include indefinite weights. Moreover, the parameters in the boundary conditions can be determined numerically by using a shooting method.
publishDate 2015
dc.date.none.fl_str_mv 2015-04
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/93862
Pinasco, Juan Pablo; Scarola, Cristian; A nodal inverse problem for second order Sturm-Liouville operators with indefinite weights; Elsevier Science Inc; Applied Mathematics and Computation; 256; 4-2015; 819-830
0096-3003
CONICET Digital
CONICET
url http://hdl.handle.net/11336/93862
identifier_str_mv Pinasco, Juan Pablo; Scarola, Cristian; A nodal inverse problem for second order Sturm-Liouville operators with indefinite weights; Elsevier Science Inc; Applied Mathematics and Computation; 256; 4-2015; 819-830
0096-3003
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0096300315001332
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.amc.2015.01.101
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier Science Inc
publisher.none.fl_str_mv Elsevier Science Inc
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.069144

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