| 关于运用Liapunov函数的滞后型系统部分稳定性的注释 |
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| 引用本文： | 赵杰民. 关于运用Liapunov函数的滞后型系统部分稳定性的注释[J]. 数学研究及应用, 2016, 36(4): 477-484 |
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| 作者姓名： | 赵杰民 |
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| 作者单位： | 北京联合大学基础部, 北京 100101 |
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| 基金项目： | 国家自然科学基金(Grant No.11171014). |
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| 摘 要： | Sufficient conditions for the stability with respect to part of the functional differential equation variables are given. These conditions utilize Lyapunov functions to determine the uniform stability and uniform asymptotic stability of functional differential equations. These conditions for the partial stability develop the Razumikhin theorems on uniform stability and uniform asymptotic stability of functional differential equations. An example is presented which demonstrates these results and gives insight into the new stability conditions.
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| 关 键 词： | retarded functional differential equation solution stability |
| 收稿时间： | 2015-04-16 |
| 修稿时间： | 2015-11-17 |
A Note on the Partial Stability of Retarded System Using Liapunov Functions |
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| Jiemin ZHAO. A Note on the Partial Stability of Retarded System Using Liapunov Functions[J]. Journal of Mathematical Research with Applications, 2016, 36(4): 477-484 |
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| Authors: | Jiemin ZHAO |
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| Affiliation: | Department of Mathematics and Physics, Beijing Union University, Beijing 100101, P. R. China |
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| Abstract: | Sufficient conditions for the stability with respect to part of the functional differential equation variables are given. These conditions utilize Lyapunov functions to determine the uniform stability and uniform asymptotic stability of functional differential equations. These conditions for the partial stability develop the Razumikhin theorems on uniform stability and uniform asymptotic stability of functional differential equations. An example is presented which demonstrates these results and gives insight into the new stability conditions. |
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| Keywords: | retarded functional differential equation solution stability |
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