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
Autores principales: Amster, P., Rogers, C.
Formato: JOUR
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: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 todo:paper_15985865_v48_n1-2_p71_Amster
record_format dspace
spelling todo:paper_15985865_v48_n1-2_p71_Amster2023-10-03T16:27:42Z On Dirichlet two-point boundary value problems for the Ermakov–Painlevé IV equation Amster, P. Rogers, C. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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, P.
Rogers, C.
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.
format JOUR
author Amster, P.
Rogers, C.
author_facet Amster, P.
Rogers, C.
author_sort Amster, P.
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
url http://hdl.handle.net/20.500.12110/paper_15985865_v48_n1-2_p71_Amster
work_keys_str_mv AT amsterp ondirichlettwopointboundaryvalueproblemsfortheermakovpainleveivequation
AT rogersc ondirichlettwopointboundaryvalueproblemsfortheermakovpainleveivequation
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