Stability and Boundedness of a Class of Thirdorder Delay Differential Equations

Xu Lin; Song Chang-xiu

doi:10.3969/j.issn.1007-7162.2015.01.026

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Stability and Boundedness of a Class of Thirdorder Delay Differential Equations

更新时间：2026-05-27

- Stability and Boundedness of a Class of Thirdorder Delay Differential Equations
- Vol. 32, Issue 1, Pages: 128-132(2015)
- 作者机构：
- 作者简介：
- 基金信息：
- DOI：10.3969/j.issn.1007-7162.2015.01.026
  CLC：
- Online First：05 March 2015，
  
  Published：2015
- 稿件说明：
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徐林, 宋常修. 一类三阶时滞微分方程的稳定性和有界性[J]. 广东工业大学学报, 2015, 32(1): 128-132.

Xu Lin, Song Chang-xiu. Stability and Boundedness of a Class of Thirdorder Delay Differential Equations[J]. 2015, 32(1): 128-132.
徐林, 宋常修. 一类三阶时滞微分方程的稳定性和有界性[J]. 广东工业大学学报, 2015, 32(1): 128-132. DOI： 10.3969/j.issn.1007-7162.2015.01.026.

Xu Lin, Song Chang-xiu. Stability and Boundedness of a Class of Thirdorder Delay Differential Equations[J]. 2015, 32(1): 128-132. DOI： 10.3969/j.issn.1007-7162.2015.01.026.

摘要

通过类比法构造Lyapunov泛函

讨论了一类三阶时滞微分方程零解的渐近稳定性和所有解的有解性

给出了其零解渐近稳和所有解有界的充分性准则.

Abstract

This paper studies the asymptotic stability of the zero solution and the boundedness of all solutions to a class of third-order delay differential Equation. By the method of Lyapunov function

some sufficient conditions for the asymptotic stability of the zero solution and the boundedness of all solutions are proposed.

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