MDDEs隐式Euler法的非线性稳定性

Nonlinear stability of implicit Euler method for MDDEs

讨论隐式Euler法关于多变延迟微分方程 (MDDEs)的非线性稳定性。我们证明 ,在MDDEs的解是稳定或渐近稳定的条件下 。

This paper is concerned with the nonlinear stability of implicit Euler method for multidelay differential equations (MDDEs) with several variable delays. We proved that the numerical solutions of implicit Euler method for MDDEs are numerically stable or asymptotically stable when the condition that the analytical solutions of MDDEs are stable or asymptotically stable hold.