CONTINUOUS DEPENDENCE OF RECURRENT SOLUTIONS FOR STOCHASTIC DIFFERENTIAL EQUATIONS

被引：0

作者：

Qiu, Haijing ^{[1
]}

Wang, Yan ^{[1
]}

机构：

[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2020年

关键词：

Stochastic differential equation; continuous dependence; recurrent solution; ALMOST-PERIODIC SOLUTIONS; AUTOMORPHIC SOLUTIONS; DRIVEN;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Existence, uniqueness and asymptotic stability of recurrent solutions have been investigated extensively for semi-linear stochastic differential equations. In this article, we show that the unique recurrent solution depends continuously on the coefficients of the equation in the compact-open topology or uniform topology, which depends on how the coefficients vary with respect to the parameter.

引用

页数：9

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