Necessary condition for an Euler-Lagrange equation on time scales

Detalhes bibliográficos
Autor(a) principal: Dryl, M.
Data de Publicação: 2014
Outros Autores: Torres, D. F. M.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/12451
Resumo: We prove a necessary condition for a dynamic integrodifferential equation to be an Euler-Lagrange equation. New and interesting results for the discrete and quantum calculus are obtained as particular cases. An example of a second order dynamic equation, which is not an Euler-Lagrange equation on an arbitrary time scale, is given. © 2014 Monika Dryl and Delfim F. M. Torres.
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spelling Necessary condition for an Euler-Lagrange equation on time scalesWe prove a necessary condition for a dynamic integrodifferential equation to be an Euler-Lagrange equation. New and interesting results for the discrete and quantum calculus are obtained as particular cases. An example of a second order dynamic equation, which is not an Euler-Lagrange equation on an arbitrary time scale, is given. © 2014 Monika Dryl and Delfim F. M. Torres.Hindawi Publishing Corporation2014-06-20T14:43:21Z2014-01-01T00:00:00Z2014info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/12451eng1687-040910.1155/2014/631281Dryl, M.Torres, D. F. M.info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-02-22T11:22:30Zoai:ria.ua.pt:10773/12451Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:48:33.918448Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Necessary condition for an Euler-Lagrange equation on time scales
title Necessary condition for an Euler-Lagrange equation on time scales
spellingShingle Necessary condition for an Euler-Lagrange equation on time scales
Dryl, M.
title_short Necessary condition for an Euler-Lagrange equation on time scales
title_full Necessary condition for an Euler-Lagrange equation on time scales
title_fullStr Necessary condition for an Euler-Lagrange equation on time scales
title_full_unstemmed Necessary condition for an Euler-Lagrange equation on time scales
title_sort Necessary condition for an Euler-Lagrange equation on time scales
author Dryl, M.
author_facet Dryl, M.
Torres, D. F. M.
author_role author
author2 Torres, D. F. M.
author2_role author
dc.contributor.author.fl_str_mv Dryl, M.
Torres, D. F. M.
description We prove a necessary condition for a dynamic integrodifferential equation to be an Euler-Lagrange equation. New and interesting results for the discrete and quantum calculus are obtained as particular cases. An example of a second order dynamic equation, which is not an Euler-Lagrange equation on an arbitrary time scale, is given. © 2014 Monika Dryl and Delfim F. M. Torres.
publishDate 2014
dc.date.none.fl_str_mv 2014-06-20T14:43:21Z
2014-01-01T00:00:00Z
2014
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://hdl.handle.net/10773/12451
url http://hdl.handle.net/10773/12451
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1687-0409
10.1155/2014/631281
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Hindawi Publishing Corporation
publisher.none.fl_str_mv Hindawi Publishing Corporation
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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