ALMOST AUTOMORPHIC SOLUTIONS OF SEMILINEAR STOCHASTIC HYPERBOLIC DIFFERENTIAL EQUATIONS IN INTERMEDIATE SPACE

被引：1

作者：

Xia, Zhinan ^{[1
]}

机构：

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

来源：

KODAI MATHEMATICAL JOURNAL | 2017年 / 40卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Almost automorphy in one-dimensional distribution; Poisson square mean almost automorphy; Levy process; hyperbolic semigroup; intermediate space; ALMOST-PERIODIC SOLUTIONS; EVOLUTION-EQUATIONS; WEIGHTED PSEUDO; MILD SOLUTIONS; DRIVEN; EXISTENCE; STABILITY;

D O I：

10.2996/kmj/1509415229

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate the existence, uniqueness of almost automorphic in one-dimensional distribution mild solution for semilinear stochastic differential equations driven by Levy noise. The semigroup theory, fixed point theorem and stochastic analysis technique are the main tools in carrying out proof. Finally, we give one example to illustrate the main findings.

引用

页码：492 / 517

页数：26

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