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http://hdl.handle.net/10773/11798
Título: | The contingent epiderivative and the calculus of variations on time scales |
Autor: | Girejko, E. Malinowska, A.B. Torres, D.F.M. |
Palavras-chave: | Calculus of variations Contingent derivative Contingent epiderivative Delta and nabla calculi Euler-Lagrange equations Time scales |
Data: | 2012 |
Editora: | Taylor & Francis |
Resumo: | The calculus of variations on time scales is considered. We propose a new approach to the subject that consists of applying a differentiation tool called the contingent epiderivative. It is shown that the contingent epiderivative applied to the calculus of variations on time scales is very useful: it allows to unify the delta and nabla approaches previously considered in the literature. Generalized versions of the Euler-Lagrange necessary optimality conditions are obtained, both for the basic problem of the calculus of variations and isoperimetric problems. As particular cases one gets the recent delta and nabla results. © 2012 Taylor and Francis Group, LLC. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/11798 |
DOI: | 10.1080/02331934.2010.506615 |
ISSN: | 0233-1934 |
Aparece nas coleções: | CIDMA - Artigos |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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[175]epi_CV_Gir_Mal_Tor_ICCA2010.pdf | 166.34 kB | Adobe PDF |
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