| 中立型时滞微分方程Rosenbrock方法的弱时滞相关稳定性 |
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| 引用本文： | 张明坤,王艳沛,赵欢欢.中立型时滞微分方程Rosenbrock方法的弱时滞相关稳定性[J].上海大学学报(自然科学版),2021,27(1):208-217. |
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| 作者姓名： | 张明坤 王艳沛 赵欢欢 |
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| 作者单位： | 上海大学理学院,上海200444;上海大学理学院,上海200444;郑州航空工业管理学院数学学院,郑州450046 |
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| 基金项目： | 国家自然科学基金资助项目(11471217) |
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| 摘 要： | 在中立型时滞微分方程存在时滞相关渐近稳定解的条件下,研究了中立型时滞微分方程的Rosenbrock方法的弱时滞相关稳定性.基于辐角原理,给出了Rosenbrock方法的弱时滞渐近稳定性的充分条件,并通过数值例子验证理论结果的有效性.
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| 关 键 词： | 中立型时滞微分方程 Rosenbrock方法 辐角原理 弱时滞相关稳定性 |
| 收稿时间： | 2018-12-11 |
Weak delay-dependent stability of Rosenbrock methods for neutral delay differential equations |
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| ZHANG Mingkun,WANG Yanpei,ZHAO Huanhuan.Weak delay-dependent stability of Rosenbrock methods for neutral delay differential equations[J].Journal of Shanghai University(Natural Science),2021,27(1):208-217. |
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| Authors: | ZHANG Mingkun WANG Yanpei ZHAO Huanhuan |
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| Institution: | 1. College of Sciences, Shanghai University, Shanghai 200444, China;2. School of Mathematics, ZhengzhouUniversity of Aeronautics, Zhengzhou 450046, China |
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| Abstract: | The weak delay-dependent stability of the Rosenbrock methods for neutral delay differential equations is studied under the condition that the equations are delay-dependent asymptotically stable. Based on the argument principle, a sufficient condition for the weak delay asymptotic stability of Rosenbrock methods is given. Finally, numerical examples are provided to verify the effectiveness of the theoretical results. |
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| Keywords: | neutral delay differential equation Rosenbrock method argument principle weak delay-dependent stability |
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