Gastao S. F. Frederico, Tatiana Odzijewicz, Delfim F. M. Torres
Published 2012-12-20Version 1
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.
Comments: This is a preprint of a paper whose final and definite form will be published in Applicable Analysis. Manuscript submitted 07-Nov-2012; accepted for publication 19-Dec-2012
Journal: Applicable Analysis 93 (2014), no. 1, 153--170
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