Tea Shavadze

Variation Formulas of Solutions for Controlled Functional Differential Equations with the Continuous Initial Condition with Regard for Perturbations of the Initial Moment and Several Delays

Variation formulas of solutions for nonlinear controlled functional differential equations are proved which show the effect of perturbations of the initial moment, constant delays and also that of the continuous initial condition.

Mathematics Subject Classification: 34K99

Key words and phrases: Delay controlled functional differential equation, variation formula of solution, effect of the initial moment perturbation, effect of delay perturbation, effect of the continuous initial condition