【摘要】 研究延迟微分方程ｙ′（ｔ）＝ａｙ（ｔ）＋ｂｙ（ｑｔ）；０＜ｑ＜１，ａ，ｂ∈ｃ的数值解法的渐近稳定性，给出了数值解稳定的充分条件及必要条件，解决了部分Ａ，Ｉｓｅｒｌｅｓ在文献［１］中提出的猜想．更多还原

【Abstract】 We study the asymptotic stability of the numerical solution of pantograph delay differential equations in the form of y′(t)=ay(t)+by(qt) 0<q<1, a,b∈c. and give the sufficient and necessary conditions for the numerical stability and solve in part the A.Iserles’ conjecture in reference .更多还原