Utilize este identificador para referenciar este registo:
http://hdl.handle.net/10773/4073
Título: | Euler-Lagrange equations for composition functionals in calculus of variations on time scales |
Autor: | Malinowska, A.B. Torres, D.F.M. |
Palavras-chave: | Calculus of variations Composition functionals Euler-Lagrange equations Isoperimetric problems Natural boundary conditions Time scales |
Data: | 2011 |
Editora: | American Institute of Mathematical Sciences (AIMS) |
Resumo: | In this paper we consider the problem of the calculus of variations for a functional which is the composition of a certain scalar function H with the delta integral of a vector valued field f, i.e., of the form H (int;ba f(t,xσ(t); δ(t))δt). Euler-Lagrange equations, natural boundary conditions for such problems as well as a necessary optimality condition for isoperimetric problems, on a general time scale, are given. A number of corollaries are obtained, and several examples illustrating the new results are discussed in detail. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/4073 |
ISSN: | 1078-0947 |
Aparece nas coleções: | DMat - Artigos |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
---|---|---|---|---|
[151]E-L-eq-composition-functionals-cv-ts.pdf | 429.33 kB | Adobe PDF |
Todos os registos no repositório estão protegidos por leis de copyright, com todos os direitos reservados.