中立型时滞微分方程Rosenbrock方法的弱时滞相关稳定性  

Weak delay-dependent stability of Rosenbrock methods for neutral delay differential equations

作　　者：张明坤 王艳沛 赵欢欢 ZHANG Mingkun;WANG Yanpei;ZHAO Huanhuan(College of Sciences,Shanghai University,Shanghai 200444,China;School of Mathematics,ZhengzhouUniversity of Aeronautics,Zhengzhou 450046,China)

机构地区：[1]上海大学理学院,上海200444 [2]郑州航空工业管理学院数学学院,郑州450046

出　　处：《上海大学学报（自然科学版）》2021年第1期208-217,共10页Journal of Shanghai University:Natural Science Edition

基　　金：国家自然科学基金资助项目(11471217)。

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.The weak delay-dependent stability of the Rosenbrock methods for neutral delay differential equations is studied under the condition that the equations are delaydependent 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.

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 

分 类 号：O241.8[理学—计算数学]