One-sided and two-sided Green's functions

Detalhes bibliográficos
Autor(a) principal: Camargo, Rubens de Figueiredo [UNESP]
Data de Publicação: 2013
Outros Autores: Chiacchio, Ary Orozimbo, Oliveira, Edmundo Capelas de
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1186/1687-2770-2013-45
http://hdl.handle.net/11449/113526
Resumo: We discuss the one-sided Green's function, associated with an initial value problem and the two-sided Green's function related to a boundary value problem. We present a specific calculation associated with a differential equation with constant coefficients. For both problems, we also present the Laplace integral transform as another methodology to calculate these Green's functions and conclude which is the most convenient one. An incursion in the so-called fractional Green's function is also presented. As an example, we discuss the isotropic harmonic oscillator.
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spelling One-sided and two-sided Green's functionsWe discuss the one-sided Green's function, associated with an initial value problem and the two-sided Green's function related to a boundary value problem. We present a specific calculation associated with a differential equation with constant coefficients. For both problems, we also present the Laplace integral transform as another methodology to calculate these Green's functions and conclude which is the most convenient one. An incursion in the so-called fractional Green's function is also presented. As an example, we discuss the isotropic harmonic oscillator.UNESP, Fac Ciencias, Dept Matemat, BR-17033369 Bauru, SP, BrazilUniv Estadual Campinas, Imecc, Dept Matemat, BR-13081970 Campinas, SP, BrazilUNESP, Fac Ciencias, Dept Matemat, BR-17033369 Bauru, SP, BrazilSpringerUniversidade Estadual Paulista (Unesp)Universidade Estadual de Campinas (UNICAMP)Camargo, Rubens de Figueiredo [UNESP]Chiacchio, Ary OrozimboOliveira, Edmundo Capelas de2014-12-03T13:11:46Z2014-12-03T13:11:46Z2013-03-06info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article11application/pdfhttp://dx.doi.org/10.1186/1687-2770-2013-45Boundary Value Problems. Cham: Springer International Publishing Ag, 11 p., 2013.1687-2770http://hdl.handle.net/11449/11352610.1186/1687-2770-2013-45WOS:000325705400001WOS000325705400001.pdf48942751579826490000-0001-7417-3308Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengBoundary Value Problems1.1560,490info:eu-repo/semantics/openAccess2024-04-29T14:59:29Zoai:repositorio.unesp.br:11449/113526Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T15:20:18.668295Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv One-sided and two-sided Green's functions
title One-sided and two-sided Green's functions
spellingShingle One-sided and two-sided Green's functions
Camargo, Rubens de Figueiredo [UNESP]
title_short One-sided and two-sided Green's functions
title_full One-sided and two-sided Green's functions
title_fullStr One-sided and two-sided Green's functions
title_full_unstemmed One-sided and two-sided Green's functions
title_sort One-sided and two-sided Green's functions
author Camargo, Rubens de Figueiredo [UNESP]
author_facet Camargo, Rubens de Figueiredo [UNESP]
Chiacchio, Ary Orozimbo
Oliveira, Edmundo Capelas de
author_role author
author2 Chiacchio, Ary Orozimbo
Oliveira, Edmundo Capelas de
author2_role author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
Universidade Estadual de Campinas (UNICAMP)
dc.contributor.author.fl_str_mv Camargo, Rubens de Figueiredo [UNESP]
Chiacchio, Ary Orozimbo
Oliveira, Edmundo Capelas de
description We discuss the one-sided Green's function, associated with an initial value problem and the two-sided Green's function related to a boundary value problem. We present a specific calculation associated with a differential equation with constant coefficients. For both problems, we also present the Laplace integral transform as another methodology to calculate these Green's functions and conclude which is the most convenient one. An incursion in the so-called fractional Green's function is also presented. As an example, we discuss the isotropic harmonic oscillator.
publishDate 2013
dc.date.none.fl_str_mv 2013-03-06
2014-12-03T13:11:46Z
2014-12-03T13:11:46Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1186/1687-2770-2013-45
Boundary Value Problems. Cham: Springer International Publishing Ag, 11 p., 2013.
1687-2770
http://hdl.handle.net/11449/113526
10.1186/1687-2770-2013-45
WOS:000325705400001
WOS000325705400001.pdf
4894275157982649
0000-0001-7417-3308
url http://dx.doi.org/10.1186/1687-2770-2013-45
http://hdl.handle.net/11449/113526
identifier_str_mv Boundary Value Problems. Cham: Springer International Publishing Ag, 11 p., 2013.
1687-2770
10.1186/1687-2770-2013-45
WOS:000325705400001
WOS000325705400001.pdf
4894275157982649
0000-0001-7417-3308
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Boundary Value Problems
1.156
0,490
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 11
application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv Web of Science
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
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