时滞微分方程初值问题数值方法的误差估计

Estimating the Global Error of Numerical Methods for Retarded Initial Value Problems

给出了求解时滞微分方程初值问题ｙ′（ｔ）＝ｆ（ｔ，ｙ（ｔ），ｙ（ｔ－τ）），ｔ≥ｔ０ｙ（ｔ）＝φ（ｔ），ｔ≤ｔ０｛的数值方法的整体误差估计，它不依赖于右端函数关于第二个变量的李普希兹常数．

Error analysis of numerical methods for delay differential equation based on the test equation y′(t)=f(t,y(t),y(t-τ)), t≥t 0 y(t)=φ(t), t≤t 0 τ>0, is presented. It is given that the estimation of globar error independed on Lipschitz constant for the second variable of f.