Results
Title

On the problem of calculus of variations with pure state constraints of equality type.

Authors

Krastanov, Mikhail; Ribarska, Nadezhda

Abstract

The basic problem of calculus of variations with pure state constraints of equality type in a non smooth setting is considered. Under suitable assumptions, a version of the Euler–Lagrange equation is obtained. Moreover, a generalization of the classical DuBois-Reymond lemma is proved in the presence of pure state constraints.

Subjects

LAGRANGE equations; LAGRANGE multiplier; GENERALIZATION; EQUATIONS

Publication

Mathematical Control & Related Fields, 2024, Vol 14, Issue 4, p1

ISSN

2156-8472

Publication type

Academic Journal

DOI

10.3934/mcrf.2024060