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 a ordinary differential equation coupled to an algebraic recursion. Hypotheses on the original equation allow to study contractivity and asympotoic stablility of the true solution and of the numerical schemes by the theory of stability with respect to a forcing term
Stability for delay differential equations of neutral type / Torelli, Lucio. - ELETTRONICO. - (2006), pp. 1-6. ( IFAC 2006 L'Aquila 10-12 Luglio 2006).
Stability for delay differential equations of neutral type
TORELLI, LUCIO
2006-01-01
Abstract
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 a ordinary differential equation coupled to an algebraic recursion. Hypotheses on the original equation allow to study contractivity and asympotoic stablility of the true solution and of the numerical schemes by the theory of stability with respect to a forcing termFile in questo prodotto:
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