| 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 |
| 随机Volterra-Levin方程的稳定性 |
| Exponential Stability for Stochastic Volterra-Levin Equations |
| 投稿时间：2011-03-26 修订日期：2011-09-01 |
| DOI：10.3770/j.issn:2095-2651.2013.01.011 |
| 中文关键词: 指数稳定 不动点定理 随机Volterra-Levin方程 $P$次. |
| 英文关键词:exponential stability fixed point theorem stochastic Volterra-Levin equation $p$th moment. |
| 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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| 中文摘要: |
| 本文使用不动点定理研究随机Volterra-Levin方程（简记为SVLEs）的解的$P$次指数稳定和几乎处处稳定性问题,其中$P\geq2$.文中的结果推广了文[3,12]中的相应结果,并且文[12]中的结果是本文的特例. |
| 英文摘要: |
| 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 $p\ge 2$. 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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