Utilize este identificador para referenciar este registo:
http://hdl.handle.net/10773/4258
Título: | A unified approach to the calculus of variations on time scales |
Autor: | Girejko, E. Malinowska, A.B. Torres, D.F.M. |
Palavras-chave: | Calculus of variations Delta and nabla calculi Directional derivatives Euler-Lagrange equations Time scales |
Data: | 2010 |
Editora: | IEEE |
Resumo: | In this work we propose a new and more general approach to the calculus of variations on time scales that allows to obtain, as particular cases, both delta and nabla results. More precisely, we pose the problem of minimizing or maximizing the composition of delta and nabla integrals with Lagrangians that involve directional derivatives. Unified Euler-Lagrange necessary optimality conditions, as well as sufficient conditions under appropriate convexity assumptions, are proved. We illustrate presented results with simple examples. ©2010 IEEE. |
Descrição: | http://dx.doi.org/10.1109/CCDC.2010.5498972 |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/4258 |
ISBN: | 978-1-4244-5182-1 |
Versão do Editor: | http://ieeexplore.ieee.org/search/srchabstract.jsp?tp=&arnumber=5498972 |
Aparece nas coleções: | DMat - Comunicações |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
---|---|---|---|---|
[173]China_2010CCDC_Girejko_Malinowska_Torres.pdf | 151.48 kB | Adobe PDF |
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