多滞量时滞微分方程数值方法的非线性稳定性

TNE NONLINEAR STABILITY OF NUMERICAL METHODS FOR OELAY DIFFERENTIAL EAUATIONS WITN MANY OELAYS

对具有多个滞量的非线性时滞微分方程给出了其理论解渐近稳定的充分条件及数值方法的非线性稳定性概念，证明了隐式Euler方法是所谓NCR2-稳定的。

In this paper, a sufficient condition for the asymptotic stability of the theoretical solution of the non linear differential equations with many delays is derived, and new conept of numerical stability is introduced, It is shown that the implicit Euler method is NGR2 - stable.