An extension of numerical stability criteria for linear neutral multidelay-integro-differential equations

In this paper, the underlying general linear methods (GLMs) are adapted to linear neutral multidelay-integro-differential equations (NMIDEs). In order to obtain stability criteria of the extended GLMs, the corresponding results in paper of Zhang and Vandewalle (2008) are generalized. Based on the concepts of A(α)-stability and A-stability of the underlying GLMs, a serial of asymptotic stability criteria of the extended GLMs are obtained.