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.
出处
《数学理论与应用》
2006年第4期57-59,共3页
Mathematical Theory and Applications
关键词
多延迟积分微分方程
线性多步法
渐近稳定性
delay - integro - differentail equations with several delays umltistep methods asymptotic stability
