Service interruption on Monday 11 July from 12:30 to 13:00: all the sites of the CCSD (HAL, Epiciences, SciencesConf, AureHAL) will be inaccessible (network hardware connection).
Skip to Main content Skip to Navigation
Journal articles

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

Gastao S. F. Frederico Tatiana Odzijewicz Delfim F. M. Torres 1 
1 Department of Mathematics
Abstract : 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.
Document type :
Journal articles
Complete list of metadata
https://hal.inria.fr/hal-01067438
Contributor : Estelle Bouzat Connect in order to contact the contributor
Submitted on : Tuesday, September 23, 2014 - 2:17:40 PM
Last modification on : Thursday, May 2, 2019 - 2:14:37 PM

Links full text

arxiv

Identifiers

Collections

INSMI | SADCO | TDS-MACS

Citation

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

Export

BibTeX TEI DC DCterms EndNote Datacite

Share

Metrics

Record views

31

 

Contact                    Legal Notice                    Personal Data