Encontrados 2 documentos, a visualizar página 1 de 1

Ordenado por Data

Necessary condition for an Euler-Lagrange equation on time scales

Dryl, M.; Torres, D. F. M.

We prove a necessary condition for a dynamic integrodifferential equation to be an Euler-Lagrange equation. New and interesting results for the discrete and quantum calculus are obtained as particular cases. An example of a second order dynamic equation, which is not an Euler-Lagrange equation on an arbitrary time scale, is given. © 2014 Monika Dryl and Delfim F. M. Torres.


Necessary optimality conditions for infinite horizon variational problems on ti...

Dryl, M.; Torres, D.F.M.

We prove Euler-Lagrange type equations and transversality conditions for generalized infinite horizon problems of the calculus of variations on time scales. Here the Lagrangian depends on the independent variable, an unknown function and its nabla derivative, as well as a nabla indefinite integral that depends on the unknown function.


2 Resultados

Texto Pesquisado

Refinar resultados

Autor




Data



Tipo de Documento


Recurso


Assunto










    Financiadores do RCAAP

Fundação para a Ciência e a Tecnologia Universidade do Minho   Governo Português Ministério da Educação e Ciência Programa Operacional da Sociedade do Conhecimento União Europeia