Noether's Theorem for Nonsmooth Extremals of Variational Problems with Time Delay - Inria - Institut national de recherche en sciences et technologies du numérique Accéder directement au contenu
Article Dans Une Revue Applicable Analysis Année : 2014

Noether's Theorem for Nonsmooth Extremals of Variational Problems with Time Delay

Gastao S. F. Frederico
  • Fonction : Auteur
Tatiana Odzijewicz
  • Fonction : Auteur

Résumé

We obtain a nonsmooth extension of Noether's symmetry theorem for variational problems with delayed arguments. The result is proved to be valid in the class of Lipschitz functions, as long as the delayed Euler-Lagrange extremals are restricted to those that satisfy the DuBois-Reymond necessary optimality condition. The important case of delayed variational problems with higher-order derivatives is considered as well.

Dates et versions

hal-01067438 , version 1 (23-09-2014)

Identifiants

Citer

Gastao S. F. Frederico, Tatiana Odzijewicz, Delfim F. M. Torres. Noether's Theorem for Nonsmooth Extremals of Variational Problems with Time Delay. Applicable Analysis, 2014, 93 (1), pp.153-170. ⟨10.1080/00036811.2012.762090⟩. ⟨hal-01067438⟩

Collections

SADCO TDS-MACS
34 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More