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http://hdl.handle.net/10773/14652
Título: | Variational problems of Herglotz type with time delay: DuBois-Reymond condition and Noether's first theorem |
Autor: | Santos, S. P. S. Martins, N. Torres, D. F. M. |
Palavras-chave: | DuBois-Reymond necessary optimality condition Euler-Lagrange differential equations Herglotz's calculus of variations Invariance Noether's theorem Time delay |
Data: | Set-2015 |
Editora: | American Institute of Mathematical Sciences (AIMS) |
Resumo: | We extend the DuBois-Reymond necessary optimality condition and Noether's first theorem to variational problems of Herglotz type with time delay. Our results provide, as corollaries, the DuBois-Reymond necessary optimality condition and the first Noether theorem for variational problems with time delay recently proved in [Numer. Algebra Control Optim. 2(2012), no. 3, 619-630]. Our main result is also a generalization of the first Noether-type theorem for the generalized variational principle of Herglotz proved in [Topol. Methods Nonlinear Anal. 20(2002), no. 2, 261-273]. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/14652 |
DOI: | 10.3934/dcds.2015.35.4593 |
ISSN: | 1078-0947 |
Aparece nas coleções: | CIDMA - Artigos SCG - Artigos |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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[319]Santos_Martins_Torres_DCDS-A.pdf | 390.61 kB | Adobe PDF |
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