Constants of motion for Isoperimetric Variational Problems with Time Delay

Autor:	Frederico, G. S. F., Lazo, M. J., Barreto, M. N. F., Paiva, J.
Rok vydání:	2016
Předmět:	Mathematics - Optimization and Control
Druh dokumentu:	Working Paper
Popis:	In the present work, we obtain the constants of motion for isoperimetric variational problems with time delay. We consider a constrained optimization problem where the Lagrangian function defining the functional depends on time delayed arguments. We prove the isoperimetric Euler--Lagrange and DuBois--Reymond type optimality conditions and, in order to investigate the constants of motion for this problem, we obtain a nonsmooth extension of Noether's symmetry theorem for isoperimetric variational problems with delayed arguments. Comment: accepted to publication in Applicable Analysis
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1603.02335 Zobrazit plný text záznamu View this record from Arxiv