Stability analysis of LMMs for systems of neutral multidelay-differential equations

This paper deals with the asymptotic stability of theoretical and numerical solutions for systems of Neutral Multidelay-Differential Equations (NMDEs) In particular, it is shown that A(α)-stability of the Linear Multistep Methods (LMMs) for ODEs is equivalent to NGPk(α)-stability of the induced methods for NMDEs under the suitable conditions.