Asymptotic Stability of Nonlinear Differential Equation with Time Delays

Huang Ming-hui

doi:10.3969/j.issn.1007-7162.2016.01.012

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Asymptotic Stability of Nonlinear Differential Equation with Time Delays

更新时间：2026-05-27

- Asymptotic Stability of Nonlinear Differential Equation with Time Delays
- Vol. 33, Issue 1, Pages: 62-66(2016)
- 作者机构：
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- DOI：10.3969/j.issn.1007-7162.2016.01.012
  CLC：
- Online First：16 January 2016，
  
  Published：2016
- 稿件说明：
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黄明辉. 多时滞的非线性微分方程的渐近稳定性[J]. 广东工业大学学报, 2016, 33(1): 62-66.

Huang Ming-hui. Asymptotic Stability of Nonlinear Differential Equation with Time Delays[J]. 2016, 33(1): 62-66.
黄明辉. 多时滞的非线性微分方程的渐近稳定性[J]. 广东工业大学学报, 2016, 33(1): 62-66. DOI： 10.3969/j.issn.1007-7162.2016.01.012.

Huang Ming-hui. Asymptotic Stability of Nonlinear Differential Equation with Time Delays[J]. 2016, 33(1): 62-66. DOI： 10.3969/j.issn.1007-7162.2016.01.012.

摘要

以时滞的非线性微分方程为研究对象，利用不动点定理证明了时滞的非线性微分方程的渐近稳定性，并得到了零解渐近稳定的充分条件.

Abstract

This paper takes the nonlinear delay differential equation as the research subject and uses the fixed point theorem to prove asymptotic stability of nonlinear differential equations with delays. Some sufficient conditions for asymptotic stability of the trivial solution are also established.

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