| 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 |
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| 引用本文： | 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. |
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| 作者姓名： | 董超 高学军 周敏 |
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| 作者单位： | 广东工业大学 应用数学学院，广东 广州 510520 |
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| 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 |
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| 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,x,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.
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| 关 键 词： | 时滞微分方程 全局渐进稳定 有界性 Lyapunov泛函 |
| 收稿时间： | 2013-09-16 |
Global Asymptotic Stability and Boundedness of Solutions to a Kind of Non-Linear Third-Order Delay Differential Equations |
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| 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].Journal of Guangdong University of Technology,2015,32(2):98-103. |
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| Authors: | Dong Chao Gao Xue-jun Zhou Min |
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| Affiliation: | School of Applied Mathematics, Guangdong University of Technology, Guangzhou 510520, China |
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| 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,x,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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| Keywords: | delay differential equations global asymptotic stability boundedness Lyapunov functional |
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