Existence and exponential stability for impulsive neutral stochastic functional differential equations driven by fBm with noncompact semigroup via Monch fixed point

被引：81

作者：

Deng, Sufang ^{[1
]}

Shu, Xiao-Bao ^{[1
]}

Mao, Jianzhong ^{[2
]}

机构：

[1] Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China

[2] Hunan Univ, Coll Mech Engn, Changsha 410082, Hunan, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2018年 / 467卷 / 01期

关键词：

Impulsive neutral stochastic functional differential equations; Fractional Brownian motion; Noncompact semigroup; Hausdorff measure of noncompactness; Fixed point; Impulsive-integral inequality; INTEGRODIFFERENTIAL EQUATIONS; ASYMPTOTIC STABILITY; EVOLUTION-EQUATIONS; INFINITE DELAY; MILD SOLUTIONS;

D O I：

10.1016/j.jmaa.2018.07.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the existence and exponential stability of mild solutions for a class of impulsive neutral stochastic functional differential equations driven by fBm with noncompact semigroup in Hilbert spaces. Sufficient conditions for the existence of mild solutions are obtained using the Hausdorff measure of noncompactness and the Monch fixed point theorem. Further, we establish a new impulsive-integral inequality to prove the exponential stability of mild solutions in the mean square moment. Finally, an example is presented to illustrate our obtained results. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：398 / 420

页数：23

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