Skip to Main content Skip to Navigation
Journal articles

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

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.
Complete list of metadata

https://hal.inria.fr/hal-01067438
Contributor : Estelle Bouzat <>
Submitted on : Tuesday, September 23, 2014 - 2:17:40 PM
Last modification on : Thursday, May 2, 2019 - 2:14:37 PM

Links full text

Identifiers

Collections

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⟩

Share

Metrics

Record views

143