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拟有界函数

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By employing the local Lipschitz condition and Picard sequence, the local existence-uniqueness of solutions of stochastic functional differential equations of Ito-type is firstly obtained. Furthermore, a continuation theorem for stochastic functional differential equations of Ito-type is given by using stochastic analysis technique and the quasi-boundedness condition. Finally, by establishing some delay differential inequalities and using properties of H_m-functions, a stochastic version of Wintner theorem and the global existence-uniqueness of solutions of stochastic functional differential equations of Ito-type are given. The results generalize the earlier publications.

首先,利用局部Lipschitz条件和Picard序列,获得了伊藤随机泛函微分方程解的局部存在唯一性;其次,利用随机分析技巧和拟有界条件,建立了伊藤随机泛函微分方程解的延拓定理;最后,通过建立一些时滞微分不等式和利用H_m-函数的特性,得到了Wintner定理的随机版本和伊藤随机泛函微分方程解的全局存在唯一性,推广了已有的一些结果。

推荐网络例句

Lugalbanda was a god and shepherd king of Uruk where he was worshipped for over a thousand years.

Lugalbanda 是神和被崇拜了一千年多 Uruk古埃及喜克索王朝国王。

I am coming just now,' and went on perfuming himself with Hunut, then he came and sat.

我来只是现在,'歼灭战perfuming自己与胡努特,那麼,他来到和SAT 。

The shamrock is the symbol of Ireland and of St.

三叶草是爱尔兰和圣特里克节的标志同时它的寓意是带来幸运。3片心形叶子围绕着一根断茎,深绿色。