Existence and uniqueness of the p-generalized modified error function

Autores
Bollati, Julieta; Semitiel, José Abel; Natale, María Fernanda; Tarzia, Domingo Alberto
Año de publicación
2020
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this article, we define a p-generalized modified error function as the solution to a non-linear ordinary differential equation of second order, with a Robin type boundary condition at x = 0. We prove existence and uniqueness of a non-negative C∞ solution by using a fixed point argument. We show that the p-generalized modified error function converges to the pmodified error function defined as the solution to a similar problem with a Dirichlet boundary condition. In both problems, for p = 1, the generalized modified error function and the modified error function are recovered. In addition, we analyze the existence and uniqueness of solution to a problem with a Neumann boundary condition.
Fil: Bollati, Julieta. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; Argentina
Fil: Semitiel, José Abel. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; Argentina
Fil: Natale, María Fernanda. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; Argentina
Fil: Tarzia, Domingo Alberto. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; Argentina
Materia
MODIFIED ERROR FUNCTION
GENERALIZED MODIFIED ERROR FUNCTION
NONLINEAR ORDINARY DIFFERENTIAL EQUATION
BANACH FIXED POINT THEOREM
STEFAN PROBLEM
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/154881
Acceder
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network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Existence and uniqueness of the p-generalized modified error functionBollati, JulietaSemitiel, José AbelNatale, María FernandaTarzia, Domingo AlbertoMODIFIED ERROR FUNCTIONGENERALIZED MODIFIED ERROR FUNCTIONNONLINEAR ORDINARY DIFFERENTIAL EQUATIONBANACH FIXED POINT THEOREMSTEFAN PROBLEMhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In this article, we define a p-generalized modified error function as the solution to a non-linear ordinary differential equation of second order, with a Robin type boundary condition at x = 0. We prove existence and uniqueness of a non-negative C∞ solution by using a fixed point argument. We show that the p-generalized modified error function converges to the pmodified error function defined as the solution to a similar problem with a Dirichlet boundary condition. In both problems, for p = 1, the generalized modified error function and the modified error function are recovered. In addition, we analyze the existence and uniqueness of solution to a problem with a Neumann boundary condition.Fil: Bollati, Julieta. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; ArgentinaFil: Semitiel, José Abel. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; ArgentinaFil: Natale, María Fernanda. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; ArgentinaFil: Tarzia, Domingo Alberto. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; ArgentinaSouthwest Texas State University; University of North Texas2020-04info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/154881Bollati, Julieta; Semitiel, José Abel; Natale, María Fernanda; Tarzia, Domingo Alberto; Existence and uniqueness of the p-generalized modified error function; Southwest Texas State University; University of North Texas; Electronic Journal of Differential Equations; 35; 4-2020; 1-111072-66911550-6150CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://ejde.math.txstate.edu/info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1810.03934info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2026-08-25T14:50:00Zoai:ri.conicet.gov.ar:11336/154881instacron: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:34982026-08-25 14:50:00.597CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Existence and uniqueness of the p-generalized modified error function
title Existence and uniqueness of the p-generalized modified error function
spellingShingle Existence and uniqueness of the p-generalized modified error function
Bollati, Julieta
MODIFIED ERROR FUNCTION
GENERALIZED MODIFIED ERROR FUNCTION
NONLINEAR ORDINARY DIFFERENTIAL EQUATION
BANACH FIXED POINT THEOREM
STEFAN PROBLEM
title_short Existence and uniqueness of the p-generalized modified error function
title_full Existence and uniqueness of the p-generalized modified error function
title_fullStr Existence and uniqueness of the p-generalized modified error function
title_full_unstemmed Existence and uniqueness of the p-generalized modified error function
title_sort Existence and uniqueness of the p-generalized modified error function
dc.creator.none.fl_str_mv Bollati, Julieta
Semitiel, José Abel
Natale, María Fernanda
Tarzia, Domingo Alberto
author Bollati, Julieta
author_facet Bollati, Julieta
Semitiel, José Abel
Natale, María Fernanda
Tarzia, Domingo Alberto
author_role author
author2 Semitiel, José Abel
Natale, María Fernanda
Tarzia, Domingo Alberto
author2_role author
author
author
dc.subject.none.fl_str_mv MODIFIED ERROR FUNCTION
GENERALIZED MODIFIED ERROR FUNCTION
NONLINEAR ORDINARY DIFFERENTIAL EQUATION
BANACH FIXED POINT THEOREM
STEFAN PROBLEM
topic MODIFIED ERROR FUNCTION
GENERALIZED MODIFIED ERROR FUNCTION
NONLINEAR ORDINARY DIFFERENTIAL EQUATION
BANACH FIXED POINT THEOREM
STEFAN PROBLEM
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 article, we define a p-generalized modified error function as the solution to a non-linear ordinary differential equation of second order, with a Robin type boundary condition at x = 0. We prove existence and uniqueness of a non-negative C∞ solution by using a fixed point argument. We show that the p-generalized modified error function converges to the pmodified error function defined as the solution to a similar problem with a Dirichlet boundary condition. In both problems, for p = 1, the generalized modified error function and the modified error function are recovered. In addition, we analyze the existence and uniqueness of solution to a problem with a Neumann boundary condition.
Fil: Bollati, Julieta. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; Argentina
Fil: Semitiel, José Abel. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; Argentina
Fil: Natale, María Fernanda. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; Argentina
Fil: Tarzia, Domingo Alberto. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; Argentina
description In this article, we define a p-generalized modified error function as the solution to a non-linear ordinary differential equation of second order, with a Robin type boundary condition at x = 0. We prove existence and uniqueness of a non-negative C∞ solution by using a fixed point argument. We show that the p-generalized modified error function converges to the pmodified error function defined as the solution to a similar problem with a Dirichlet boundary condition. In both problems, for p = 1, the generalized modified error function and the modified error function are recovered. In addition, we analyze the existence and uniqueness of solution to a problem with a Neumann boundary condition.
publishDate 2020
dc.date.none.fl_str_mv 2020-04
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/11336/154881
Bollati, Julieta; Semitiel, José Abel; Natale, María Fernanda; Tarzia, Domingo Alberto; Existence and uniqueness of the p-generalized modified error function; Southwest Texas State University; University of North Texas; Electronic Journal of Differential Equations; 35; 4-2020; 1-11
1072-6691
1550-6150
CONICET Digital
CONICET
url http://hdl.handle.net/11336/154881
identifier_str_mv Bollati, Julieta; Semitiel, José Abel; Natale, María Fernanda; Tarzia, Domingo Alberto; Existence and uniqueness of the p-generalized modified error function; Southwest Texas State University; University of North Texas; Electronic Journal of Differential Equations; 35; 4-2020; 1-11
1072-6691
1550-6150
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://ejde.math.txstate.edu/
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1810.03934
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Southwest Texas State University; University of North Texas
publisher.none.fl_str_mv Southwest Texas State University; University of North Texas
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
_version_ 1874774743632052224
score 13.265058

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