| 不动点与非卷积型随机Vollterra微分方程的稳定性 |
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| 引用本文： | 王春生.不动点与非卷积型随机Vollterra微分方程的稳定性[J].荆门职业技术学院学报,2011,26(2):30-33. |
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| 作者姓名： | 王春生 |
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| 作者单位： | 广州大学华软软件学院,广东,广州,510990 |
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| 摘 要： | 考虑一类非卷积型随机Vollterra微分方程,并通过应用Banach不动点方法得出使其零解均方渐进稳定的条件,同时对所得的定理给出了严格的证明,一些相关文献的结果得以改进。
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| 关 键 词： | 不动点 均方渐进稳定性 随机Vollterra微分方程 |
Fixed Point and Stability of Stochastic Vollterra Differential Equations of Nonconvolution Type |
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| WANG Chun-sheng.Fixed Point and Stability of Stochastic Vollterra Differential Equations of Nonconvolution Type[J].Journal of Jingmen Vocational Technical College,2011,26(2):30-33. |
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| Authors: | WANG Chun-sheng |
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| Institution: | WANG Chun-sheng(South China Institute of Software Engineering,Guangzhou University,Guangzhou,Guangdong,510990,China) |
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| Abstract: | In this paper a kind of stochastic Vollterra differential equation of nonconvolution type was considered and some new conditions were given to ensure that the zero solution was asymptotically stable in mean square by means of fixed point method.The theorem of asymptotic stability in mean square with necessary conditions was proved.Some results of related papers were improved. |
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| Keywords: | fixed point asymptotic stability in mean square stochastic Vollterra differential equations |
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