Solvability and Stability for Neutral Stochastic Integro-differential Equations Driven by Fractional Brownian Motion with Impulses

被引：6

作者：

Duan, Pengju ^{[1
]}

Ren, Yong ^{[2
]}

机构：

[1] Suzhou Univ, Sch Math & Stat, Suzhou 234000, Peoples R China

[2] Anhui Normal Univ, Dept Math, Wuhu 241000, Peoples R China

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2018年 / 15卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Fractional Brownian motion; resolvent operator; neutral stochastic integro-differential equations; mild solution; existence; EVOLUTION-EQUATIONS; HILBERT-SPACE; DELAY; EXISTENCE;

D O I：

10.1007/s00009-018-1253-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper is devoted to the existence, uniqueness and asymptotic behaviors of mild solution to neutral impulsive stochastic integro-differential equations driven by fractional Brownian motion with by the theory of resolvent operator and contraction mapping principle. An example is provided to demonstrate the results of the proposed results.

引用

页数：19

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