On Dirichlet two-point boundary value problems for the Ermakov–Painlevé IV equation

Autores
Amster, Pablo Gustavo; Rogers, Colin
Año de publicación
2015
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Two-point boundary value problems of Dirichlet-type are investigated for a hybrid Ermakov-Painlev´e IV equation. Existence and uniqueness results are established in terms of the Painlev´e parameters. In addition, it is shown how Ermakov invariants may be used to systematically obtain solutions of a coupled Ermakov-Painlev´e IV system in terms of seed solutions of the canonical integrable Painlev´e IV equation.
Fil: Amster, Pablo Gustavo. 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
Fil: Rogers, Colin. University Of New South Wales; Australia
Materia
Ermakov-Painlevé IV
Existence of solutions
Singular problems
Dirichlet conditions
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:11336/18887
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/18887
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling On Dirichlet two-point boundary value problems for the Ermakov–Painlevé IV equationAmster, Pablo GustavoRogers, ColinErmakov-Painlevé IVExistence of solutionsSingular problemsDirichlet conditionshttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1Two-point boundary value problems of Dirichlet-type are investigated for a hybrid Ermakov-Painlev´e IV equation. Existence and uniqueness results are established in terms of the Painlev´e parameters. In addition, it is shown how Ermakov invariants may be used to systematically obtain solutions of a coupled Ermakov-Painlev´e IV system in terms of seed solutions of the canonical integrable Painlev´e IV equation.Fil: Amster, Pablo Gustavo. 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"; ArgentinaFil: Rogers, Colin. University Of New South Wales; AustraliaSpringer2015-06info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/18887Amster, Pablo Gustavo; Rogers, Colin; On Dirichlet two-point boundary value problems for the Ermakov–Painlevé IV equation; Springer; Journal of Applied Mathematics and Computing; 48; 1-2; 6-2015; 71-811598-58651865-2085CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1007/s12190-014-0792-3info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s12190-014-0792-3info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:36:35Zoai:ri.conicet.gov.ar:11336/18887instacron: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 09:36:35.424CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv On Dirichlet two-point boundary value problems for the Ermakov–Painlevé IV equation
title On Dirichlet two-point boundary value problems for the Ermakov–Painlevé IV equation
spellingShingle On Dirichlet two-point boundary value problems for the Ermakov–Painlevé IV equation
Amster, Pablo Gustavo
Ermakov-Painlevé IV
Existence of solutions
Singular problems
Dirichlet conditions
title_short On Dirichlet two-point boundary value problems for the Ermakov–Painlevé IV equation
title_full On Dirichlet two-point boundary value problems for the Ermakov–Painlevé IV equation
title_fullStr On Dirichlet two-point boundary value problems for the Ermakov–Painlevé IV equation
title_full_unstemmed On Dirichlet two-point boundary value problems for the Ermakov–Painlevé IV equation
title_sort On Dirichlet two-point boundary value problems for the Ermakov–Painlevé IV equation
dc.creator.none.fl_str_mv Amster, Pablo Gustavo
Rogers, Colin
author Amster, Pablo Gustavo
author_facet Amster, Pablo Gustavo
Rogers, Colin
author_role author
author2 Rogers, Colin
author2_role author
dc.subject.none.fl_str_mv Ermakov-Painlevé IV
Existence of solutions
Singular problems
Dirichlet conditions
topic Ermakov-Painlevé IV
Existence of solutions
Singular problems
Dirichlet conditions
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Two-point boundary value problems of Dirichlet-type are investigated for a hybrid Ermakov-Painlev´e IV equation. Existence and uniqueness results are established in terms of the Painlev´e parameters. In addition, it is shown how Ermakov invariants may be used to systematically obtain solutions of a coupled Ermakov-Painlev´e IV system in terms of seed solutions of the canonical integrable Painlev´e IV equation.
Fil: Amster, Pablo Gustavo. 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
Fil: Rogers, Colin. University Of New South Wales; Australia
description Two-point boundary value problems of Dirichlet-type are investigated for a hybrid Ermakov-Painlev´e IV equation. Existence and uniqueness results are established in terms of the Painlev´e parameters. In addition, it is shown how Ermakov invariants may be used to systematically obtain solutions of a coupled Ermakov-Painlev´e IV system in terms of seed solutions of the canonical integrable Painlev´e IV equation.
publishDate 2015
dc.date.none.fl_str_mv 2015-06
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/11336/18887
Amster, Pablo Gustavo; Rogers, Colin; On Dirichlet two-point boundary value problems for the Ermakov–Painlevé IV equation; Springer; Journal of Applied Mathematics and Computing; 48; 1-2; 6-2015; 71-81
1598-5865
1865-2085
CONICET Digital
CONICET
url http://hdl.handle.net/11336/18887
identifier_str_mv Amster, Pablo Gustavo; Rogers, Colin; On Dirichlet two-point boundary value problems for the Ermakov–Painlevé IV equation; Springer; Journal of Applied Mathematics and Computing; 48; 1-2; 6-2015; 71-81
1598-5865
1865-2085
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1007/s12190-014-0792-3
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s12190-014-0792-3
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 Springer
publisher.none.fl_str_mv Springer
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 13.070432

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