Constants of motion for isoperimetric variational problems with time delay.

Autor:	Frederico, G. S. F., Lazo, M. J., Barreto, M. N. F., Paiva, J.
Předmět:	ISOPERIMETRICAL problems NOETHER'S theorem LAGRANGIAN functions CONSTRAINED optimization TIME delay systems EULER-Lagrange equations
Zdroj:	Applicable Analysis; Apr2022, Vol. 101 Issue 7, p2707-2725, 19p
Abstrakt:	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. [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
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