Effects of the initial moment and several delays perturbations in the variation formulas for a solution of a functional differential equation with the continuous initial condition

Phridon Dvalishvili , Abdeljalil Nachaoui (1) , Tamaz Tadumadze

1 LMJL - Laboratoire de Mathématiques Jean Leray

For the nonlinear functional differential equation with several constant delays, the variation formulas for its solution are proved, in which the effects of perturbations of delays and the initial moment are detected.

Mots clés: Delay functional differential equation; variation formula for solution; effect of delays perturbations; effect of the initial moment perturbation

Domaines: Mathématiques [math]; Optimisation et contrôle [math.OC]; Systèmes dynamiques [math.DS]

Phridon Dvalishvili, Abdeljalil Nachaoui, Tamaz Tadumadze. Effects of the initial moment and several delays perturbations in the variation formulas for a solution of a functional differential equation with the continuous initial condition. Georgian Mathematical Journal, 2020, 27 (1), pp.53-66. ⟨10.1515/gmj-2019-2050⟩. ⟨hal-02428766⟩