含分布时滞的时滞微分系统多步龙格-库塔方法的时滞相关稳定性  

DELAY-DEPENDENT STABILITY OF MULTISTEP RUNGE-KUTTA METHODS FOR DIFFERENTIAL SYSTEMS WITH DISTRIBUTED DELAYS

作　　者：丛玉豪 胡洋 王艳沛 Cong Yuhao;Hu Yang;Wang Yanpei(College of Science, Shanghai University, Shanghai 200444, China;Shanghai Customs College, Shanghai 201204, China)

机构地区：[1]上海大学理学院数学系,上海200444 [2]上海海关学院,上海201204

出　　处：《计算数学》2019年第1期104-112,共9页Mathematica Numerica Sinica

基　　金：国家自然科学基金(11471217)资助项目

摘　　要：本文研究了一类含分布时滞的时滞微分系统的多步龙格-库塔方法的稳定性.基于辐角原理,本文给出了多步龙格-库塔方法弱时滞相关稳定性的充分条件,并通过数值算例验证了理论结果的有效性.This paper is concerned with the stability of multistep Runge-Kutta methods for differential systems with distributed delays. Based on the Argument Principle, a sufficient condition of weak delay-dependent stability of multistep Runge-Kutta methods for the systems is obtained. Furthermore, numerical examples are provided to demonstrate the effectiveness of the theoretical results.

关 键 词：含分布时滞的时滞微分系统 多步龙格-库塔方法 弱时滞相关稳定性 

分 类 号：O241.82[理学—计算数学]