| 随机泛函微分方程解的稳定性 |
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| 引用本文： | 韩月才,田萍,史少云. 随机泛函微分方程解的稳定性[J]. 吉林大学学报(理学版), 2003, 41(3): 299-303 |
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| 作者姓名： | 韩月才 田萍 史少云 |
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| 作者单位： | 1. 吉林大学数学学院, 长春 130012; 2. 吉林大学商学院, 长春 130012 |
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| 摘 要： | 通过定义随机Lyapunov过程, 研究随机泛函微分方程的零解在均值意义下的稳定性.
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| 关 键 词： | 随机泛函微分方程 稳定性 零解 |
| 文章编号： | 1671-5489(2003)03-0299-05 |
| 收稿时间： | 2002-12-03 |
| 修稿时间： | 2002-12-03 |
Stability of Solution of Stochastic Functional Differential Equations |
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| HAN Yue-cai,TIAN Ping,SHI Shao-yun. Stability of Solution of Stochastic Functional Differential Equations[J]. Journal of Jilin University: Sci Ed, 2003, 41(3): 299-303 |
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| Authors: | HAN Yue-cai TIAN Ping SHI Shao-yun |
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| Affiliation: | 1. College of Mathematics, Jilin University, Changchun 130012, China;2. College of Business, Jilin University, Changchun 130012, China |
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| Abstract: | We investigated the solutions of stochastic functional differential equations. Using the so called Lyapunov functional process, we obtained that the zero solution is ultimate asymptotic stable under the meaning of mean value. |
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| Keywords: | stochastic functional differential equations stability zero solution |
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