Weyl almost periodic solutions in distribution to a mean-field stochastic differential equation driven by fractional Brownian motion

被引：1

作者：

Li, Yongkun ^{[1
]}

Li, Bing ^{[2
]}

机构：

[1] Yunnan Univ, Dept Math, Kunming 650091, Yunnan, Peoples R China

[2] Yunnan Minzu Univ, Sch Math & Comp Sci, Kunming, Yunnan, Peoples R China

来源：

STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES | 2024年 / 96卷 / 07期

基金：

中国国家自然科学基金;

关键词：

Mean-field stochastic differential equation; Weyl almost periodic solution; Brownian motion; fractional Brownian motion; AUTOMORPHIC SOLUTIONS;

D O I：

10.1080/17442508.2024.2365215

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a class of mean-field stochastic differential equations driven by both Brownian motion and fractional Brownian motion. Using the Banach fixed point theorem and inequality technique, we obtain sufficient conditions for the existence and uniqueness of Weyl almost periodic solutions in distribution of the equations under consideration.

引用

页码：1893 / 1912

页数：20

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