Stability Analysis of the Stiffly Accurate Runge Kutta Methods for System of Pantograph Equations
比例延迟微分方程组具有刚性精度Runge-Kutta方法的稳定性分析

The paper deals with asymptotical stability of the Runge-Kutta methods with variable stepsize for the system of pantograph equations. A kind of general variable stepsize scheme is given out. It is shown that the Runge-Kutta methods are asymptotically stable if and only if the modulus of the stability function at infinity is less than 1.