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

Two-point boundary value problems of Dirichlet-type are investigated for a hybrid Ermakov–Painlevé IV equation. Existence and uniqueness results are established in terms of the Painlevé parameters. In addition, it is shown how Ermakov invariants may be used to systematically obtain solutions of a co...

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Detalles Bibliográficos
Autor principal:	Amster, Pablo Gustavo
Publicado:	2015
Materias:	Dirichlet boundary conditions Ermakov-Ray-Reid systems Existence of solutions Painlevé IV Boundary conditions Dirichlet boundary condition Dirichlet type Ermakov invariant Existence and uniqueness results Existence of Solutions I-V equation Seed solution Two point boundary value problems Boundary value problems
Acceso en línea:	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15985865_v48_n1-2_p71_Amster http://hdl.handle.net/20.500.12110/paper_15985865_v48_n1-2_p71_Amster
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	paper:paper_15985865_v48_n1-2_p71_Amster
record_format	dspace
spelling	paper:paper_15985865_v48_n1-2_p71_Amster2023-06-08T16:24:56Z On Dirichlet two-point boundary value problems for the Ermakov–Painlevé IV equation Amster, Pablo Gustavo Dirichlet boundary conditions Ermakov-Ray-Reid systems Existence of solutions Painlevé IV Boundary conditions Dirichlet boundary condition Dirichlet type Ermakov invariant Existence and uniqueness results Existence of Solutions I-V equation Seed solution Two point boundary value problems Boundary value problems Two-point boundary value problems of Dirichlet-type are investigated for a hybrid Ermakov–Painlevé IV equation. Existence and uniqueness results are established in terms of the Painlevé parameters. In addition, it is shown how Ermakov invariants may be used to systematically obtain solutions of a coupled Ermakov–Painlevé IV system in terms of seed solutions of the canonical integrable Painlevé IV equation. © 2014, Korean Society for Computational and Applied Mathematics. Fil:Amster, P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2015 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15985865_v48_n1-2_p71_Amster http://hdl.handle.net/20.500.12110/paper_15985865_v48_n1-2_p71_Amster
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic	Dirichlet boundary conditions Ermakov-Ray-Reid systems Existence of solutions Painlevé IV Boundary conditions Dirichlet boundary condition Dirichlet type Ermakov invariant Existence and uniqueness results Existence of Solutions I-V equation Seed solution Two point boundary value problems Boundary value problems
spellingShingle	Dirichlet boundary conditions Ermakov-Ray-Reid systems Existence of solutions Painlevé IV Boundary conditions Dirichlet boundary condition Dirichlet type Ermakov invariant Existence and uniqueness results Existence of Solutions I-V equation Seed solution Two point boundary value problems Boundary value problems Amster, Pablo Gustavo On Dirichlet two-point boundary value problems for the Ermakov–Painlevé IV equation
topic_facet	Dirichlet boundary conditions Ermakov-Ray-Reid systems Existence of solutions Painlevé IV Boundary conditions Dirichlet boundary condition Dirichlet type Ermakov invariant Existence and uniqueness results Existence of Solutions I-V equation Seed solution Two point boundary value problems Boundary value problems
description	Two-point boundary value problems of Dirichlet-type are investigated for a hybrid Ermakov–Painlevé IV equation. Existence and uniqueness results are established in terms of the Painlevé parameters. In addition, it is shown how Ermakov invariants may be used to systematically obtain solutions of a coupled Ermakov–Painlevé IV system in terms of seed solutions of the canonical integrable Painlevé IV equation. © 2014, Korean Society for Computational and Applied Mathematics.
author	Amster, Pablo Gustavo
author_facet	Amster, Pablo Gustavo
author_sort	Amster, Pablo Gustavo
title	On Dirichlet two-point boundary value problems for the Ermakov–Painlevé IV equation
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
publishDate	2015
url	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15985865_v48_n1-2_p71_Amster http://hdl.handle.net/20.500.12110/paper_15985865_v48_n1-2_p71_Amster
work_keys_str_mv	AT amsterpablogustavo ondirichlettwopointboundaryvalueproblemsfortheermakovpainleveivequation
_version_	1768544245054963712

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

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