中立型时滞微分方程 Rosenbrock 方法的弱时滞相关稳定性

doi:10.12066/j.issn.1007-2861.2115

Abstract

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.

Key words: neutral delay differential equation, Rosenbrock method, argument principle, weak delay-dependent stability

CLC Number:

O241.8

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 Edition）, 2021, 27(1): 208-217.

Figures/Tables 7

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

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