| Cg空间中无限时滞随机泛函微分方程解的估计 |
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| 引用本文： | 魏凤英.Cg空间中无限时滞随机泛函微分方程解的估计[J].吉林大学学报(理学版),2011,49(5):814-818. |
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| 作者姓名： | 魏凤英 |
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| 作者单位： | 福州大学 数学与计算机科学学院, 福州 350108 |
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| 基金项目： | 国家自然科学基金(批准号:10726062); 福建省自然科学基金(批准号:2010J01005); 福州大学科技发展基金(批准号:2010-XQ-24) |
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| 摘 要： | 利用伊藤公式、 BDG不等式及Hlder不等式, 在相空间Cg中研究无限时滞随机泛函微分方程解的估计, 得到了无限时滞随机泛函微分方程解的p-阶矩估计、 样本Liapunov指数估计、 p-阶矩的连续性等结果.
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| 关 键 词： | 随机泛函微分方程 无限时滞 p-阶矩 估计 |
| 收稿时间： | 2010-12-10 |
Estimation of Solutions for Stochastic Functional Differential Equations with Infinite Delay in Phase Space C_g |
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| WEI Feng-ying.Estimation of Solutions for Stochastic Functional Differential Equations with Infinite Delay in Phase Space C_g[J].Journal of Jilin University: Sci Ed,2011,49(5):814-818. |
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| Authors: | WEI Feng-ying |
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| Institution: | College of Mathematics and Computer Science, Fuzhou University, Fuzhou 350108, China |
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| Abstract: | By means of Ito formula, BDG inequality and Hlder inequality, the estimation of the solutions for stochastic functional differential equations with infinite delay was studied in Cg space. The p-th moment estimation, the sample Liapunov exponential estimation and the continuity for the p-th moment of solution to the system were obtained. |
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| Keywords: | stochastic functional differential equation infinite delay p-th moment estimation |
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