An iterative method for a second order problem with nonlinear two-point boundary conditions

Autores
Amster, Pablo Gustavo; Cárdenas Alzate, Pedro Pablo
Año de publicación
2011
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
A semi-linear second order ODE under a nonlinear two-point boundary condition is considered. Under appropriate conditions on the nonlinear term of the equation, we define a two-dimensional shooting argument which allows to obtain solutions for some specific situations by the use of Poincaré-Miranda?s theorem. Finally, we apply this result combined with the method of upper and lower solutions and develop an iterative sequence that converges to a solution of the problem.
Fil: Amster, Pablo Gustavo. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
Fil: Cárdenas Alzate, Pedro Pablo. Universidad Tecnológica de Pereira; Colombia
Materia
Nonlinear two-point boundary conditions
Upper and lower solutions
Iterative methods
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:11336/14916
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/14916
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling An iterative method for a second order problem with nonlinear two-point boundary conditionsAmster, Pablo GustavoCárdenas Alzate, Pedro PabloNonlinear two-point boundary conditionsUpper and lower solutionsIterative methodshttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1A semi-linear second order ODE under a nonlinear two-point boundary condition is considered. Under appropriate conditions on the nonlinear term of the equation, we define a two-dimensional shooting argument which allows to obtain solutions for some specific situations by the use of Poincaré-Miranda?s theorem. Finally, we apply this result combined with the method of upper and lower solutions and develop an iterative sequence that converges to a solution of the problem.Fil: Amster, Pablo Gustavo. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; ArgentinaFil: Cárdenas Alzate, Pedro Pablo. Universidad Tecnológica de Pereira; ColombiaCorporación Escuela Regional de Matemáticas ERM2011-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/14916Amster, Pablo Gustavo; Cárdenas Alzate, Pedro Pablo; An iterative method for a second order problem with nonlinear two-point boundary conditions; Corporación Escuela Regional de Matemáticas ERM; Matemáticas: Enseñanza Universitaria; XIX; 2; 12-2011; 3-140120-6788enginfo:eu-repo/semantics/altIdentifier/url/http://www.redalyc.org/articulo.oa?id=46822255001info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T09:44:55Zoai:ri.conicet.gov.ar:11336/14916instacron: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:34982025-09-03 09:44:56.089CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv An iterative method for a second order problem with nonlinear two-point boundary conditions
title An iterative method for a second order problem with nonlinear two-point boundary conditions
spellingShingle An iterative method for a second order problem with nonlinear two-point boundary conditions
Amster, Pablo Gustavo
Nonlinear two-point boundary conditions
Upper and lower solutions
Iterative methods
title_short An iterative method for a second order problem with nonlinear two-point boundary conditions
title_full An iterative method for a second order problem with nonlinear two-point boundary conditions
title_fullStr An iterative method for a second order problem with nonlinear two-point boundary conditions
title_full_unstemmed An iterative method for a second order problem with nonlinear two-point boundary conditions
title_sort An iterative method for a second order problem with nonlinear two-point boundary conditions
dc.creator.none.fl_str_mv Amster, Pablo Gustavo
Cárdenas Alzate, Pedro Pablo
author Amster, Pablo Gustavo
author_facet Amster, Pablo Gustavo
Cárdenas Alzate, Pedro Pablo
author_role author
author2 Cárdenas Alzate, Pedro Pablo
author2_role author
dc.subject.none.fl_str_mv Nonlinear two-point boundary conditions
Upper and lower solutions
Iterative methods
topic Nonlinear two-point boundary conditions
Upper and lower solutions
Iterative methods
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv A semi-linear second order ODE under a nonlinear two-point boundary condition is considered. Under appropriate conditions on the nonlinear term of the equation, we define a two-dimensional shooting argument which allows to obtain solutions for some specific situations by the use of Poincaré-Miranda?s theorem. Finally, we apply this result combined with the method of upper and lower solutions and develop an iterative sequence that converges to a solution of the problem.
Fil: Amster, Pablo Gustavo. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
Fil: Cárdenas Alzate, Pedro Pablo. Universidad Tecnológica de Pereira; Colombia
description A semi-linear second order ODE under a nonlinear two-point boundary condition is considered. Under appropriate conditions on the nonlinear term of the equation, we define a two-dimensional shooting argument which allows to obtain solutions for some specific situations by the use of Poincaré-Miranda?s theorem. Finally, we apply this result combined with the method of upper and lower solutions and develop an iterative sequence that converges to a solution of the problem.
publishDate 2011
dc.date.none.fl_str_mv 2011-12
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/11336/14916
Amster, Pablo Gustavo; Cárdenas Alzate, Pedro Pablo; An iterative method for a second order problem with nonlinear two-point boundary conditions; Corporación Escuela Regional de Matemáticas ERM; Matemáticas: Enseñanza Universitaria; XIX; 2; 12-2011; 3-14
0120-6788
url http://hdl.handle.net/11336/14916
identifier_str_mv Amster, Pablo Gustavo; Cárdenas Alzate, Pedro Pablo; An iterative method for a second order problem with nonlinear two-point boundary conditions; Corporación Escuela Regional de Matemáticas ERM; Matemáticas: Enseñanza Universitaria; XIX; 2; 12-2011; 3-14
0120-6788
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://www.redalyc.org/articulo.oa?id=46822255001
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
dc.publisher.none.fl_str_mv Corporación Escuela Regional de Matemáticas ERM
publisher.none.fl_str_mv Corporación Escuela Regional de Matemáticas ERM
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_ 1842268698105085952
score 13.13397

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