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
• 综合研究 • 上一篇 下一篇
徐林, 宋常修
收稿日期:
出版日期:
发布日期:
作者简介:
基金资助:
广东省自然科学基金资助项目(10151009001000032)
Xu Lin, Song Chang-xiu
Received:
Online:
Published:
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 Thirdorder Delay Differential Equations[J]. Journal of Guangdong University of Technology, 2015, 32(1): 128-132.
导出引用管理器 EndNote|Reference Manager|ProCite|BibTeX|RefWorks
链接本文: https://xbzrb.gdut.edu.cn/CN/10.3969/j.issn.1007-7162.2015.01.026
https://xbzrb.gdut.edu.cn/CN/Y2015/V32/I1/128
Cited