%0 Journal Article
%T Stability Analysis of the Stiffly Accurate Runge Kutta Methods for System of Pantograph Equations<br>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
%A XU Yang
%A LIU Ming-Zhu
%A <br>徐阳
%A 刘明珠
%J 数学物理学报(A辑)
%D 2004
%I 
%X 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.
%K Delay differential equations
%K Stability
%K Runge-Kutta metho<br>延迟微分方程
%K 稳定性
%K Runge-Kutta方法
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=4DB553CDB5F521D8C921082E5C95EC80&aid=F8C8ED1C1C86E2DA&yid=D0E58B75BFD8E51C&vid=B91E8C6D6FE990DB&iid=0B39A22176CE99FB&sid=CC0ECB9C52F1B85F&eid=1B64850025D0BBBE&journal_id=1003-3998&journal_name=数学物理学报(A辑)&referenced_num=0&reference_num=7