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Journal of Shanghai University >

2021 , Vol. 27 >Issue 1: 208 - 217

DOI: https://doi.org/10.12066/j.issn.1007-2861.2115

Research Articles

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

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  • 1. College of Sciences, Shanghai University, Shanghai 200444, China
    2. School of Mathematics, ZhengzhouUniversity of Aeronautics, Zhengzhou 450046, China

Received date: 2018-12-11

  Online published: 2021-02-28

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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.

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

Cite this article

ZHANG Mingkun, WANG Yanpei, ZHAO Huanhuan . Weak delay-dependent stability of Rosenbrock methods for neutral delay differential equations[J]. Journal of Shanghai University, 2021 , 27(1) : 208 -217 . DOI: 10.12066/j.issn.1007-2861.2115

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