| 非Lipschitz条件下Ch-空间中立型随机泛函微分方程解的存在惟一性 |
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| 引用本文： | 岳超慧,张长勤,吴坚. 非Lipschitz条件下Ch-空间中立型随机泛函微分方程解的存在惟一性[J]. 山东大学学报(理学版), 2013, 48(3): 73-79 |
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| 作者姓名： | 岳超慧 张长勤 吴坚 |
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| 作者单位： | 安徽农业大学理学院,安徽合肥,230036 |
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| 摘 要： | 研究了Ch-空间中具有无穷时滞的中立型随机泛函微分方程, 利用Picard迭代法给出了非Lipschitz条件下其解的存在惟一性。
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| 关 键 词： | 中立型随机泛函微分方程 Ch 空间 非Lipschitz条件 |
| 收稿时间： | 2012-08-30 |
Existence and uniqueness of the solution to neutral stochastic functional differential equations under non-Lipschitz conditions with infinite delay at phase space Ch |
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| Affiliation: | School of Sciences, Anhui Agricultural University, Hefei 230036, Anhui, China |
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| Abstract: | The existence and uniqueness of the solution to neutral stochastic functional differential equations with infinite delay at phase space (Ch, |·|h) under non Lipschitz conditions on the coefficients was proved by means of the Picard approximations. |
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| Keywords: | neutral stochastic functional differential equations phase space Ch non-Lipschitz conditions |
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