广东工业大学学报 ›› 2016, Vol. 33 ›› Issue (01): 62-66.doi: 10.3969/j.issn.1007-7162.2016.01.012

• 综合研究 • 上一篇    下一篇

多时滞的非线性微分方程的渐近稳定性

黄明辉   

  1. 广州华夏职业学院 基础部，广东 广州 510935
  • 收稿日期:2014-09-23 出版日期:2016-01-16 发布日期:2016-01-16
  • 作者简介:黄明辉（1988-），男，助教，硕士研究生，主要研究方向为微分动力系统.
  • 基金资助:

    广东省自然科学基金资助项目（S2011010005029）

Asymptotic Stability of Nonlinear Differential Equation with Time Delays

Huang Ming-hui   

  1. Department of Basic Education, Guangzhou Huaxia Technical College, Guangzhou 510935, China
  • Received:2014-09-23 Online:2016-01-16 Published:2016-01-16

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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.

关键词: 时滞; 渐近稳定性; 不动点； 非线性

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.

Key words: time delays; asymptotic stability; fixed point; nonlinear

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