中文摘要：

［1］LIU M Z, SPIJKER M N. The stability of θ- method in the numerical solution of delay differential equations [ J ].IMA J Numer Anal , 1990, 10:31-48. ［2］INT HOUT K J, SPIJKER M N. Stability analysis of numerical methods for delay differential equations [ J ]. Numer Math,1991,59:807-814. ［3］INT HOUT K J. The stability of θ -methods for systems of delay differential equations[J]. Ann Numer Math , 1994( 1 ) :323-334. ［4］ISERLES A , LIU Y. On neutral functional differential equations with proportional delays[R]. London: Cambridge University Tech Rep DAMTP, 1994. ［5］BELLEN A, GUGLIELMI N, TORELLI L. Asymptotic stability properties of θ- methods for the pantograph equation[J]. Appl Numer Math, 1997,24:279-293. ［6］ZHU W J, LINDA R. Asymptotic stability of linear delay differential-algebraic equations and numerical methods [J]. Appl Numer Math , 1997,24:247-264.