Necessary optimality conditions for infinite horizon variational problems on time scales

Detalhes bibliográficos
Autor(a) principal: Dryl, M.
Data de Publicação: 2013
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/10773/11892
Resumo: We prove Euler-Lagrange type equations and transversality conditions for generalized infinite horizon problems of the calculus of variations on time scales. Here the Lagrangian depends on the independent variable, an unknown function and its nabla derivative, as well as a nabla indefinite integral that depends on the unknown function.
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spelling Necessary optimality conditions for infinite horizon variational problems on time scalesCalculus of variationsEuler-Lagrange equationsInfinite horizonTime scalesTransversality conditionsWe prove Euler-Lagrange type equations and transversality conditions for generalized infinite horizon problems of the calculus of variations on time scales. Here the Lagrangian depends on the independent variable, an unknown function and its nabla derivative, as well as a nabla indefinite integral that depends on the unknown function.American Institute of Mathematical Sciences2014-02-25T18:41:26Z2013-03-01T00:00:00Z2013-03info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/11892eng2155-328910.3934/naco.2013.3.145Dryl, 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:RCAAP2024-02-22T11:21:24Zoai:ria.ua.pt:10773/11892Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:48:08.983231Repositório 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 optimality conditions for infinite horizon variational problems on time scales
title Necessary optimality conditions for infinite horizon variational problems on time scales
spellingShingle Necessary optimality conditions for infinite horizon variational problems on time scales
Dryl, M.
Calculus of variations
Euler-Lagrange equations
Infinite horizon
Time scales
Transversality conditions
title_short Necessary optimality conditions for infinite horizon variational problems on time scales
title_full Necessary optimality conditions for infinite horizon variational problems on time scales
title_fullStr Necessary optimality conditions for infinite horizon variational problems on time scales
title_full_unstemmed Necessary optimality conditions for infinite horizon variational problems on time scales
title_sort Necessary optimality conditions for infinite horizon variational problems 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.
dc.subject.por.fl_str_mv Calculus of variations
Euler-Lagrange equations
Infinite horizon
Time scales
Transversality conditions
topic Calculus of variations
Euler-Lagrange equations
Infinite horizon
Time scales
Transversality conditions
description We prove Euler-Lagrange type equations and transversality conditions for generalized infinite horizon problems of the calculus of variations on time scales. Here the Lagrangian depends on the independent variable, an unknown function and its nabla derivative, as well as a nabla indefinite integral that depends on the unknown function.
publishDate 2013
dc.date.none.fl_str_mv 2013-03-01T00:00:00Z
2013-03
2014-02-25T18:41:26Z
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/10773/11892
url http://hdl.handle.net/10773/11892
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 2155-3289
10.3934/naco.2013.3.145
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 American Institute of Mathematical Sciences
publisher.none.fl_str_mv American Institute of Mathematical Sciences
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
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