【摘要】 该文研究了一类变延迟中立型微分方程梯形方法的稳定性,并借助于一个泛函不等式得到了数值解的渐近估计.此渐近估计对数值解的性态不仅比数值渐近稳定性描述得更加精确,而且能给出非稳定情形数值解的上界估计式.更多还原

【Abstract】 In this paper,we investigate the stability of the trapezoidal method for a class of neutral differential equation with variable delay and obtain the asymptotic estimation of numerical solution with the aid of a functional inequality.The asymptotic estimation is more accurate than asymptotic stability in describing the behaviours of the numerical solution,and gives the upper bound estimates of the numerical solution for the nonstable case.更多还原