STABILITY FOR DELAY DIFFERENTIAL EQUATIONS OF NEUTRAL TYPE

This paper is devoted to stability analysis of Delay Differential Equations of Neutral type. In particular we present two reformulations of the problem, for which the neutral system is transformed into an ordinary differential equation coupled to an algebraic recursion. Hypotheses on the original equation allow to study contractivity and asymptotic stability of the true solution and of the numerical schemes by the theory of stability with respect to a forcing term.