Global Asymptotic Stability and Boundedness of Solutions to-a Kind of Non-Linear Third-Order Delay Differential Equations

Dong Chao; Gao Xue-jun; Zhou Min

doi:10.3969/j.issn.1007-7162.2015.02.018

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Global Asymptotic Stability and Boundedness of Solutions to-a Kind of Non-Linear Third-Order Delay Differential Equations

更新时间：2026-05-27

- Global Asymptotic Stability and Boundedness of Solutions to-a Kind of Non-Linear Third-Order Delay Differential Equations
- Vol. 32, Issue 2, Pages: 98-103(2015)
- 作者机构：
- 作者简介：
- 基金信息：
- DOI：10.3969/j.issn.1007-7162.2015.02.018
  CLC：
- Online First：30 May 2015，
  
  Published：2015
- 稿件说明：
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董超, 高学军, 周敏. 一类三阶非线性时滞微分方程解的全局渐进稳定性与有界性[J]. 广东工业大学学报, 2015, 32(2): 98-103.

Dong Chao, Gao Xue-jun, Zhou Min. Global Asymptotic Stability and Boundedness of Solutions to-a Kind of Non-Linear Third-Order Delay Differential Equations[J]. 2015, 32(2): 98-103.
董超, 高学军, 周敏. 一类三阶非线性时滞微分方程解的全局渐进稳定性与有界性[J]. 广东工业大学学报, 2015, 32(2): 98-103. DOI： 10.3969/j.issn.1007-7162.2015.02.018.

Dong Chao, Gao Xue-jun, Zhou Min. Global Asymptotic Stability and Boundedness of Solutions to-a Kind of Non-Linear Third-Order Delay Differential Equations[J]. 2015, 32(2): 98-103. DOI： 10.3969/j.issn.1007-7162.2015.02.018.

摘要

考虑一类三阶非线性时滞微分方程x+g(x

x)x+f(x(t-T2(t)))=p(t

x)).利用Lyapunov第二方法，得到了使零解全局渐进稳定和所有解有界的充分性准则.

Abstract

In this paper

the authors study a kind of nonlinear thirdorder delay differential equations as follows

x+g(x

x)x+f(x(t-T2(t)))=p(t

x))By using the second method of Lyapunov

the researchers establish some sufficient conditions for the global asymptotic stability of the zero solution and the boundedness of all solutions to it.

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