| 随机滞后微分方程的有界性 |
| |
| 引用本文： | 郭海军,胡军浩.随机滞后微分方程的有界性[J].南京气象学院学报,2012,4(2):180-185. |
| |
| 作者姓名： | 郭海军 胡军浩 |
| |
| 作者单位： | 华中科技大学 附属中学, 武汉, 430074;中南民族大学 数学与统计学学院, 武汉, 430074 |
| |
| 基金项目： | 国家自然科学基金(60904005);湖北省自然科学基金(2009CDB026) |
| |
| 摘 要： | 研究了随机滞后微分方程的一致有界和一致最终有界.利用Lyapunov函数和Razumikhin技巧,得到了一些关于随机滞后微分方程有界性新的Razumikhin定理,同时,证明随机滞后微分方程解的存在性,推广了相关的文献.最后,给出例子证实定理的有效性.
|
| 关 键 词： | 随机滞后微分方程 一致有界 一致最终有界 Razumikhin技巧 |
| 收稿时间： | 2012/1/25 0:00:00 |
Boundedness of stochastic retarded differential equations |
| |
| GUO Haijun and HU Junhao.Boundedness of stochastic retarded differential equations[J].Journal of Nanjing Institute of Meteorology,2012,4(2):180-185. |
| |
| Authors: | GUO Haijun and HU Junhao |
| |
| Institution: | Affiliated High School of Huazhong University of Science and Technology, Wuhan 430074;School of Mathematics and Statistics, South-Central University for Nationalities, Wuhan 430074 |
| |
| Abstract: | In this paper,the uniform boundedness and uniform ultimate boundedness of the stochastic retarded differential equations is investigated.The new Razumikhin theorems of boundedness about these systems are obtained by using the Lyapunove functions and Razumikhin technique.It should be noted that the boundedness criteria prove the global existence of solutions as well as boundedness,thus the available results in references are improved.Finally,an example is illustrated to verify the theorems. |
| |
| Keywords: | stochastic retarded differential equations uniform boundedness uniform ultimate boundedness Rezumikhin technique |
|
| 点击此处可从《南京气象学院学报》浏览原始摘要信息 |
| 点击此处可从《南京气象学院学报》下载免费的PDF全文 |
