收稿日期: 2018-12-11
网络出版日期: 2021-02-28
基金资助
国家自然科学基金资助项目(11471217)
Weak delay-dependent stability of Rosenbrock methods for neutral delay differential equations
Received date: 2018-12-11
Online published: 2021-02-28
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.
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
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 . DOI: 10.12066/j.issn.1007-2861.2115
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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