Euler-lagrange equation for a delay variational problem

Joël Blot (1) , Mamadou Ibrahima Koné (1)

1 SAMM - Statistique, Analyse et Modélisation Multidisciplinaire (SAmos-Marin Mersenne)

We establish Euler-Lagrange equations for a problem of Calculus of variations where the unknown variable contains a term of delay on a segment.

Mots clés: delay functional differential equation; Euler-Lagrange equation; Nemystkii operator

Domaines: Optimisation et contrôle [math.OC]

Joël Blot, Mamadou Ibrahima Koné. Euler-lagrange equation for a delay variational problem. 2016. ⟨hal-01338772v2⟩