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
.jpg)
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/18887
Ver los metadatos del registro completo
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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 Técnicas2025-10-22T11:04:42Zoai: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:34982025-10-22 11:04:42.544CONICET 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 |
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article |
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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 |
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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 |
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info:eu-repo/semantics/openAccess https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ |
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openAccess |
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https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ |
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application/pdf application/pdf |
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Springer |
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Springer |
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Consejo Nacional de Investigaciones Científicas y Técnicas |
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CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas |
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dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar |
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