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Convergence of the Euler Method for Impulsive Neutral Delay Differential Equations

Author

Listed:
  • Yang Sun

    (College of Sciences, Northeastern University, Shenyang 110819, China)

  • Gui-Lai Zhang

    (College of Sciences, Northeastern University, Shenyang 110819, China)

  • Zhi-Wei Wang

    (College of Sciences, Northeastern University, Shenyang 110819, China)

  • Tao Liu

    (College of Sciences, Northeastern University, Shenyang 110819, China)

Abstract

In this paper, we are concerned with a fixed stepsize Euler method for a class of linear impulsive neutral delay differential equations. By taking the partition nodes for the Euler scheme and employing the linear interpolation, we strictly prove the method is convergent of order one. Two examples illustrating the efficiency results are also presented.

Suggested Citation

  • Yang Sun & Gui-Lai Zhang & Zhi-Wei Wang & Tao Liu, 2023. "Convergence of the Euler Method for Impulsive Neutral Delay Differential Equations," Mathematics, MDPI, vol. 11(22), pages 1-14, November.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:22:p:4684-:d:1282658
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    References listed on IDEAS

    as
    1. Li, Xiaodi & Deng, Feiqi, 2017. "Razumikhin method for impulsive functional differential equations of neutral type," Chaos, Solitons & Fractals, Elsevier, vol. 101(C), pages 41-49.
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