一类三阶时滞微分方程的稳定性和有界性

doi:10.3969/j.issn.1007-7162.2015.01.026

广东工业大学学报 ›› 2015, Vol. 32 ›› Issue (1): 128-132.doi: 10.3969/j.issn.1007-7162.2015.01.026

一类三阶时滞微分方程的稳定性和有界性

徐林, 宋常修

广东工业大学应用数学学院，广东广州 510520

收稿日期:2013-10-17 出版日期:2015-03-05 发布日期:2015-03-05
作者简介:徐林（1987-），男，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（10151009001000032）

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

Xu Lin, Song Chang-xiu

School of Applied Mathematics, Guangdong University of Technology, Guangzhou 510520, China

Received:2013-10-17 Online:2015-03-05 Published:2015-03-05

摘要/Abstract

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.

关键词: 时滞微分方程；渐近稳定性； Lyapunov泛函；有界性

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.

Key words: delay differential equations; asymptotic stability; Lyapunov functional; boundedness

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]. Journal of Guangdong University of Technology, 2015, 32(1): 128-132.

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

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