线性Volterra多延迟积分微分方程线性多步法的GPm稳定性  

The GP_m-stability of Multistep-methods for Iinear Volterra elay-integro-differential Equations with Several Delays

作　　者：吴世枫[1] 蔡白光[1] 

机构地区：[1]中南大学数学科学与计算技术学院,长沙410075

出　　处：《数学理论与应用》2006年第4期57-59,共3页Mathematical Theory and Applications

摘　　要：讨论了多步法求解线性Volterra多延迟积分微分方程数值方法的GPm稳定.证明了对任给的步长h>0,A-稳定的线性多步法保持原线性系统的渐近稳定性,从而是GPm稳定.This paper is concerned with the study of the The GPm-stability of multistep-methods for linear Volterra delay-integro-differential equations with several delays. It is shown that the A-stable multistep -methods can preserve the linear system asynototic stability for any step h〉0,so the multistep - methods are GPm-stability.

关 键 词：多延迟积分微分方程 线性多步法 渐近稳定性 

分 类 号：O175[理学—数学]