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Delay-dependent stability of linear multistep methods for differential systems with distributed delays

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Abstract

This paper deals with the stability of linear multistep methods for multi-dimensional differential systems with distributed delays. The delay-dependent stability of linear multistep methods with compound quadrature rules is studied. Several new sufficient criteria of delay-dependent stability are obtained by means of the argument principle. An algorithm is provided to check delay-dependent stability. An example that illustrates the effectiveness of the derived theoretical results is given.

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Authors and Affiliations

  1. Department of Mathematics, College of Sciences, Shanghai University, Shanghai, 200444, China

    Yanpei Wang, Yuhao Cong & Guangda Hu

  2. Shanghai Customs College, Shanghai, 201204, China

    Yuhao Cong

Authors
  1. Yanpei Wang
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  2. Yuhao Cong
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  3. Guangda Hu
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Corresponding author

Correspondence to Yuhao Cong.

Additional information

Project supported by the National Natural Science Foundation of China (No. 11471217)

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Wang, Y., Cong, Y. & Hu, G. Delay-dependent stability of linear multistep methods for differential systems with distributed delays. Appl. Math. Mech.-Engl. Ed. 39, 1837–1844 (2018). https://doi.org/10.1007/s10483-018-2392-9

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  • DOI: https://doi.org/10.1007/s10483-018-2392-9

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Chinese Library Classification

2010 Mathematics Subject Classification

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