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arXiv · 1603.02335

Constants of motion for Isoperimetric Variational Problems with Time Delay

G. S. F. Frederico·M. J. Lazo·M. N. F. Barreto·J. Paiva
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Abstract

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.

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G. S. F. Frederico, M. J. Lazo, M. N. F. Barreto, J. Paiva. 2016-03-07. Constants of motion for Isoperimetric Variational Problems with Time Delay. https://arxiv.org/abs/1603.02335

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