非Lipschitz条件下C_h-空间中立型随机泛函微分方程解的存在惟一性  

Existence and uniqueness of the solution to neutral stochastic functional differential equations under non-Lipschitz conditions with infinite delay at phase space C_h

作　　者：岳超慧[1] 张长勤[1] 吴坚[1] 

机构地区：[1]安徽农业大学理学院,安徽合肥230036

出　　处：《山东大学学报（理学版）》2013年第3期73-79,共7页Journal of Shandong University(Natural Science)

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。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.

关 键 词：中立型随机泛函微分方程 Ch-空间 非LIPSCHITZ条件 

分 类 号：O211[理学—概率论与数理统计]