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Necessary optimality conditions for higher-order infinite horizon variational problems on time scales

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Detalhes bibliográficos
Resumo:We obtain Euler-Lagrange and transversality optimality conditions for higher-order infinite horizon variational problems on a time scale. The new necessary optimality conditions improve the classical results both in the continuous and discrete settings: Our results seem new and interesting even in the particular cases when the time scale is the set of real numbers or the set of integers. © 2012 Springer Science+Business Media, LLC.
Autores principais:Martins, N.
Outros Autores:Torres, D. F. M.
Assunto:Calculus of variations Euler-Lagrange equations Infinite horizon problems Time scales Transversality conditions
Ano:2012
País:Portugal
Tipo de documento:artigo
Tipo de acesso:acesso restrito
Instituição associada:Universidade de Aveiro
Idioma:inglês
Origem:RIA - Repositório Institucional da Universidade de Aveiro
Descrição
Resumo:We obtain Euler-Lagrange and transversality optimality conditions for higher-order infinite horizon variational problems on a time scale. The new necessary optimality conditions improve the classical results both in the continuous and discrete settings: Our results seem new and interesting even in the particular cases when the time scale is the set of real numbers or the set of integers. © 2012 Springer Science+Business Media, LLC.