| 随机Volterra-Levin方程的稳定性 |
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| 引用本文： | 陈丽,胡良根. 随机Volterra-Levin方程的稳定性[J]. 数学研究及应用, 2013, 33(1): 101-110 |
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| 作者姓名： | 陈丽 胡良根 |
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| 作者单位： | 宁波大学理学院数学系, 浙江 宁波 315211;宁波大学理学院数学系, 浙江 宁波 315211 |
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| 基金项目： | 国家自然科学基金天元基金(Grant No.11126125), 王宽诚幸福基金和宁波市自然科学基金(Grant No.2012A610031). |
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| 摘 要： | In this paper, we investigate the exponential stability in pth moment as well as the almost surely exponential stability of solutions of stochastic Volterra-Levin equations (SVLEs in short) by the use of fixed point theorem for p ≥ 2. Our results extend and improve the corresponding results obtained in [3, 12], and the result in [12] is a special case of our results.
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| 关 键 词： | exponential stability fixed point theorem stochastic Volterra-Levin equation pth moment. |
| 收稿时间： | 2011-03-26 |
| 修稿时间： | 2011-09-01 |
Exponential Stability for Stochastic Volterra-Levin Equations |
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| Li CHEN and Lianggen HU. Exponential Stability for Stochastic Volterra-Levin Equations[J]. Journal of Mathematical Research with Applications, 2013, 33(1): 101-110 |
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| Authors: | Li CHEN and Lianggen HU |
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| Affiliation: | Department of Mathematics, Faculty of Science, Ningbo University, Zhejiang 315211, P.R.China |
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| Abstract: | In this paper, we investigate the exponential stability in $p$th moment as well as the almost surely exponential stability of solutions of stochastic Volterra-Levin equations (SVLEs in short) by the use of fixed point theorem for $pge 2$. Our results extend and improve the corresponding results obtained in [3,,12], and the result in [12] is a special case of our results. |
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| Keywords: | exponential stability fixed point theorem stochastic Volterra-Levin equation $p$th moment. |
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