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- Title
Higher-Order Noether's Theorem for Isoperimetric Variational Problems.
- Authors
Frederico, Gastão; Lazo, Matheus Jatkoske; Barreto, Maria Nilde; Sousa, José Vanterler da Costa
- Abstract
In this present paper, we concern a non-smooth higher-order extension of Noether's symmetry theorem for variational isoperimetric problems with delayed arguments. The result is proven to be valid in the class of Lipschitz functions, as long as the delayed higher-order Euler–Lagrange extremals are restricted to those that satisfy the delayed higher-order DuBois-Reymond necessary optimality condition. The important case of delayed isoperimetric optimal control problems is considered as well.
- Subjects
NOETHER'S theorem; ISOPERIMETRICAL problems; EULER-Lagrange equations; ISOPERIMETRIC inequalities
- Publication
Journal of Optimization Theory & Applications, 2023, Vol 199, Issue 2, p541
- ISSN
0022-3239
- Publication type
Article
- DOI
10.1007/s10957-023-02288-z