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Ch-空间中立型随机泛函微分方程解的存在惟一性
引用本文:岳超慧,吴坚.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(自然科学版),2010(2):26-30,36.
作者姓名:岳超慧  吴坚
作者单位:安徽农业大学理学院,安徽合肥230036
基金项目:安徽省教育厅重点教研基金资助项目(2008jyxm099)
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Caratheodory-条件下其解的存在惟一性。

关 键 词:中立型随机泛函微分方程  Ch-空间  Caratheodory-型条件

Existence and uniqueness of the solution to neutral stochastic functional differential equations with infinite delay at phase space Ch
YUE Chao-hui,WU Jian.Existence and uniqueness of the solution to neutral stochastic functional differential equations with infinite delay at phase space Ch[J].Journal of Shandong University(Natural Science Edition),2010(2):26-30,36.
Authors:YUE Chao-hui  WU Jian
Institution:(School of Sciences, Anhui Agricultural University, Hefei 230036, Anhui, China)
Abstract:It is proved that the existence and uniqueness of the solution to neutral stochastic functional differential equations with infmite delay at phase space ( Ch, |·| h ) under some Carathoedory-type conditions on the coefficients by means of the Picard approximations.
Keywords:neutral stochastic functional differential equations  phase space Ch  Carathoodory-type conditions
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