| 不动点与一类随机积分微分方程的稳定性(英文) |
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| 引用本文： | 王春生,莫迟.不动点与一类随机积分微分方程的稳定性(英文)[J].广州大学学报(自然科学版),2009,8(2). |
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| 作者姓名： | 王春生 莫迟 |
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| 作者单位： | 广州大学数学与信息科学学院,广东广州,510006 |
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| 摘 要： | 研究了一类线性随机积分微分方程,并通过应用Banach不动点方法得出使得其零解均方指数稳定和L2-稳定的新的条件,同时对所得的零解均方指数稳定和L2-稳定的定理给出了严格的证明.改进了一些相关文献的结果.
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| 关 键 词： | 不动点 稳定性 随机积分微分方程 L2-稳定性 |
Fixed points and stability of stochastic integro-differential equations |
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| WANG Chun-sheng,MO Chi.Fixed points and stability of stochastic integro-differential equations[J].Journal og Guangzhou University:Natural Science Edition,2009,8(2). |
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| Authors: | WANG Chun-sheng MO Chi |
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| Institution: | School of Mathematics and Information Sciences;Guangzhou University;Guangzhou 510006;China |
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| Abstract: | In this paper we consider a kind of linear stochastic integro-differential equations and give some new conditions to ensure that the zero solution is exponentially stable in mean square and L2-stable by means of fixed point method.The exponential stability in mean square and L2-stability theorems with a necessary condition are proved.Some results of related papers are improved. |
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| Keywords: | fixed point stability stochastic integro-differential equations L2-stability |
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