| 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 |
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| 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 |
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| 作者姓名： | 丛玉豪 胡洋 王艳沛 |
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| 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 |
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| 基金项目： | 国家自然科学基金（11471217）资助项目. |
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| 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.
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| 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 |
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| 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 |
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| Authors: | Cong Yuhao Hu Yang Wang Yanpei |
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| Affiliation: | 1. College of Science, Shanghai University, Shanghai 200444, China;2. Shanghai Customs College, Shanghai 201204, China |
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| 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. |
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| Keywords: | differential systems with distributed delays multistep Runge-Kutta methods weak delay-dependent stability |
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