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.
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Applicable Analysis, Taylor & Francis, 2014, 93 (1), pp.153-170. 〈10.1080/00036811.2012.762090〉
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https://hal.inria.fr/hal-01067438
Contributeur : Estelle Bouzat <>
Soumis le : mardi 23 septembre 2014 - 14:17:40
Dernière modification le : mercredi 27 juillet 2016 - 14:48:48

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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〉

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