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Stability Analysis of Analytical and Numerical Solutions to Nonlinear Delay Differential Equations with Variable Impulses

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  • X. Liu
  • Y. M. Zeng

Abstract

A stability theory of nonlinear impulsive delay differential equations (IDDEs) is established. Existing algorithm may not converge when the impulses are variable. A convergent numerical scheme is established for nonlinear delay differential equations with variable impulses. Some stability conditions of analytical and numerical solutions to IDDEs are given by the properties of delay differential equations without impulsive perturbations.

Suggested Citation

  • X. Liu & Y. M. Zeng, 2017. "Stability Analysis of Analytical and Numerical Solutions to Nonlinear Delay Differential Equations with Variable Impulses," Discrete Dynamics in Nature and Society, Hindawi, vol. 2017, pages 1-8, November.
    • Handle: RePEc:hin:jnddns:6723491
    DOI: 10.1155/2017/6723491
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    Cited by:

    1. Chunxiang Li & Fangshu Hui & Fangfei Li, 2023. "Stability of Differential Systems with Impulsive Effects," Mathematics, MDPI, vol. 11(20), pages 1-23, October.

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