Neutral Stochastic Integrodifferential Equations Driven by a Fractional Brownian Motion with Impulsive Effects and Time-varying Delays

被引：13

作者：

Diop, Mamadou Abdoul ^{[1
]}

Rathinasamy, Sakthivel ^{[2
]}

Ndiaye, Abdoul Aziz ^{[1
]}

机构：

[1] Univ Gaston Berger St Louis, UFR SAT, Dept Math, St Louis 234, Senegal

[2] Sungkyunkwan Univ, Dept Math, Suwon 440746, South Korea

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2016年 / 13卷 / 05期

关键词：

Resolvent operators; C-0-semigroup; Wiener process; mild solutions; fractional Brownian motion; SUCCESSIVE-APPROXIMATIONS; EVOLUTION-EQUATIONS;

D O I：

10.1007/s00009-015-0632-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the existence,uniqueness and asymptotic behaviors of mild solutions to neutral stochastic delay functional integrodifferential equations with impulsive effects, perturbed by a fractional Brownian motion B (H) , with Hurst parameter . We use the theory of resolvent operators developed in Grimmer (Trans Am Math Soc 273(1982):333-349, 2009) to show the existence of mild solutions. An example is provided to illustrate the results of this work.

引用

页码：2425 / 2442

页数：18

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