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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
引用本文:丛玉豪,胡洋,王艳沛. 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[J]. 计算数学, 2019, 41(1): 104-112. DOI: 10.12286/jssx.2019.1.104
作者姓名:丛玉豪  胡洋  王艳沛
作者单位:上海大学理学院数学系,上海200444;上海海关学院,上海201204;上海大学理学院数学系,上海,200444
基金项目: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.

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
收稿时间:2018-06-16

DELAY-DEPENDENT STABILITY OF MULTISTEP RUNGE-KUTTA METHODS FOR DIFFERENTIAL SYSTEMS WITH DISTRIBUTED DELAYS
Cong Yuhao,Hu Yang,Wang Yanpei. DELAY-DEPENDENT STABILITY OF MULTISTEP RUNGE-KUTTA METHODS FOR DIFFERENTIAL SYSTEMS WITH DISTRIBUTED DELAYS[J]. Mathematica Numerica Sinica, 2019, 41(1): 104-112. DOI: 10.12286/jssx.2019.1.104
Authors:Cong Yuhao  Hu Yang  Wang Yanpei
Affiliation:1. College of Science, Shanghai University, Shanghai 200444, China;2. Shanghai Customs College, Shanghai 201204, China
Abstract: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.
Keywords:differential systems with distributed delays  multistep Runge-Kutta methods  weak delay-dependent stability
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