广东工业大学学报Issue(2)：98-103,6.DOI:10.3969/j.issn.1007-7162.2015.02.018
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
Global Asymptotic Stability and Boundedness of Solutions to a Kind of Non-Linear Third-Order Delay Differential Equations
摘要
Abstract
In this paper , the authors study a kind of non-linear third-order delay differential equations as follows, xº+g(x,xż)x¨+f(xż(t-τ1(t))) +h(x)φ(x(t-τ2(t))) =p(t,x,xż,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 .关键词
时滞微分方程/全局渐进稳定/有界性/Lyapunov泛函Key words
delay differential equations/global asymptotic stability/boundedness/Lyapunov functional分类
数理科学引用本文复制引用
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,(2):98-103,6.基金项目
广东省自然科学基金资助项目（ S2011010005029）；广东省自然科学基金自由申请项目 （）
