Higher-Order Noether’s Theorem for Isoperimetric Variational Problems

被引：0
|
作者：
Gastão Frederico
Matheus Jatkoske Lazo
Maria Nilde Barreto
José Vanterler da Costa Sousa
机构：
[1] Federal University of Ceará,Department of Science and Technology
[2] University of Cape Verde,Institute of Mathematics, Statistics and Physics
[3] Federal University of Rio Grande,Center for Mathematics Computing and Cognition
[4] Federal University of ABC,undefined
来源：
Journal of Optimization Theory and Applications | 2023年 / 199卷 / 2期
关键词：
Higher-order Noether’s theorem; Variational isoperimetric problems; DuBois-Reymond conditions; Euler–Lagrange equations; 49S05; 70H03; 49K15;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
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页码：541 / 568
页数：27
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