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Euler Method for a Class of Linear Impulsive Neutral Differential Equations

Author

Listed:
  • Gui-Lai Zhang

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

  • Yang Sun

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

  • Ya-Xin Zhang

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

  • Chao Liu

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

Abstract

This paper presents a new numerical scheme for a class of linear impulsive neutral differential equations with constant coefficients based on the Euler method. We rigorously establish the first-order convergence of the proposed numerical approach. Additionally, the asymptotical stability of the exact solutions and numerical solutions of impulsive neutral differential equations are studied. To substantiate our findings, two illustrative examples are provided, demonstrating the theoretical conclusions of this paper.

Suggested Citation

  • Gui-Lai Zhang & Yang Sun & Ya-Xin Zhang & Chao Liu, 2024. "Euler Method for a Class of Linear Impulsive Neutral Differential Equations," Mathematics, MDPI, vol. 12(18), pages 1-19, September.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:18:p:2833-:d:1476964
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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.
    2. Kaining Wu & Xiaohua Ding, 2012. "Stability and Stabilization of Impulsive Stochastic Delay Differential Equations," Mathematical Problems in Engineering, Hindawi, vol. 2012, pages 1-16, May.
    Full references (including those not matched with items on IDEAS)

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