The asymptotic stability of theoretical and numerical solutions for systems of neutral multidelay-differential equations

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 NGP\- k \|stability of the induced methods for NMDEs.