P-DISTRIBUTION ALMOST PERIODIC SOLUTIONS OF SEMI-LINEAR STOCHASTIC DIFFERENTIAL EQUATIONS WITH G-BROWNIAN MOTION*

被引：1

作者：

Yang, Qigui ^{[1
]}

Liu, Huoxia ^{[1
]}

Lin, Xiaofang ^{[1
]}

机构：

[1] South China Univ Technol, Dept Math, Guangzhou 510640, Peoples R China

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2022年 / 12卷 / 06期

基金：

中国国家自然科学基金;

关键词：

  Almost periodic solution; semi -linear SDE; comparability ap; proach; exponential dichotomy; Brownian motion; AUTOMORPHIC MILD SOLUTIONS; EXPONENTIAL STABILITY; EVOLUTION-EQUATIONS; WEIGHTED PSEUDO; DRIVEN; EXISTENCE; CALCULUS; SQUARE;

D O I：

10.11948/20210392

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

As a class of recurrence, almost periodicity has been studied in stochastic differential equations (SDEs) under the framework of linear expectation. However, in the framework of nonlinear expectation, there are few literatures on Poisson stable solutions for SDEs and (pseudo) almost periodic solutions for SDEs with exponential dichotomy. This paper is devoted to the existence and asymptotical stability of p-distribution Poisson stable solutions for nonhomogeneous linear and semi-linear SDEs driven by G-Brownian motion satisfying exponential stability. Moreover, some existence results of (pseudo) almost periodic solution in p-distribution are established for semilinear SDEs driven by G-Brownian motion satisfying exponential dichotomy. Meanwhile, some examples are given to validate the obtained theoretical results.

引用

页码：2230 / 2267

页数：38

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