Exponential stability of neutral stochastic functional differential equations driven by G-Brownian motion

被引：9

作者：

Zhu, Min ^{[1
,2
]}

Li, Junping ^{[1
]}

Zhu, Yongxiang ^{[2
]}

机构：

[1] Cent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China

[2] Hunan Univ Technol, Coll Traff Engn, Zhuzhou 412007, Hunan, Peoples R China

来源：

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2017年 / 10卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Neutral; variation-of-constants formula; exponential stability; G-Brownian motion; DELAY EQUATIONS; G-EXPECTATION; CALCULUS; CRITERIA;

D O I：

10.22436/jnsa.010.04.43

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we study a class of neutral stochastic functional differential equations driven by G-Brownian motion. We derive by variation-of-constants formula sufficient conditions for exponential stability and quasi sure exponential stability of the solutions. Finally, we provide an example to illustrate the effectiveness of the theoretical results. (C) 2017 All rights reserved.

引用

页码：1830 / 1841

页数：12

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