The asymptotic stability of theoretical and numerical solutions for systems of neutral multidelay-differential equations
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- Zhang, C. & Zhou, S. Sci. China Ser. A-Math. (1998) 41: 1151. doi:10.1007/BF02871977
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The asymptotic stability of theoretical and numerical solutions for neutral multidelay-differential equations (NMDEs) is dealt with. A sufficient condition on the asymptotic stability of theoretical solutions for NMDEs is obtained. On the basis of this condition, it is proved that A-stability of the multistep Runge-Kutta methods for ODEs is equivalent to NGPk-stability of the induced methods for NMDEs.