Pseudo almost automorphic in distribution solutions of semilinear stochastic integro-differential equations by measure theory

被引：10

作者：

Xia, Zhinan ^{[1
]}

机构：

[1] Zhejiang Univ Technol, Dept Appl Math, Hangzhou 310023, Zhejiang, Peoples R China

来源：

INTERNATIONAL JOURNAL OF MATHEMATICS | 2015年 / 26卷 / 13期

基金：

中国国家自然科学基金;

关键词：

Pseudo almost automorphy in distribution; measure theory; stochastic integro-differential equations; mild solution; ALMOST-PERIODIC SOLUTIONS; DIFFERENTIAL-EQUATIONS; EVOLUTION EQUATIONS; WEIGHTED PSEUDO; MILD SOLUTIONS; LEVY NOISE; EXISTENCE; DRIVEN;

D O I：

10.1142/S0129167X15501128

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper deals with the (mu,nu)-pseudo almost automorphy in distribution for a stochastic process. Under suitable conditions, we establish the existence, uniqueness of (mu, nu)-pseudo almost automorphic in distribution mild solutions for semilinear stochastic integro-differential equations.

引用

页数：24

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