| Extreme Stability of Functional Differential Equations with Finite Delay |
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| 作者姓名： | 吴述金 郭小林 |
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| 作者单位： | [1]Dept.ofMathematics,ShanghaiJiaotongUniv.,Shanghai200240,China [2]Dept.ofComputerScience,AnhuiInstituteofFinanceandTrade,Bengbu233041 |
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| 基金项目： | National Natural Science Foundation ofChina( No.1983 10 3 0 ) |
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| 摘 要： | This paper obtained some theorems that can ascertain the zero solution of Junctional differential equations are extremely unitormly stable, extremely asymptotically stable or extremely umlormly asymptotically stable. In the obtained theorems, the derivative of Liapunov function on t along the solutions of Junctional differential equations is not required to be always negative, especially, it may be even positive.
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| 关 键 词： | 微分方程 非统一稳定性 有限延迟 泛函微分方程 渐近稳定度 |
Extreme Stability of Functional Differential Equations with Finite Delay |
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| WU Shu-jin ,GUO Xiao-lin.Extreme Stability of Functional Differential Equations with Finite Delay[J].Journal of Shanghai Jiaotong university,2003,8(2):183-187. |
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| Authors: | WU Shu-jin GUO Xiao-lin |
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| Institution: | 1. Dept. of Mathematics, Shanghai Jiaotong Univ. , Shanghai 200240, China
2. Dept. of Computer Science, Anhui Institute of Finance and Trade, Bengbu 233041 |
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| Abstract: | This paper obtained some theorems that can ascertain the zero solution of functional differential equations are extremely uniformly stable, extremely asymptotically stable or extremely uniformly asymptotically stable. In the obtained theorems, the derivative of Liapunov function on t along the solutions of functional differential equations is not required to be always negative, especially, it may be even positive. |
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| Keywords: | functional differential equation with finite delay extremely uniform stability extremely asymptotic stability extremely uniformly asymptotic stability |
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