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

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• 作者：Mamadou Abdoul Diop ; Sakthivel Rathinasamy…
• 关键词：Mathematics Subject Classification60H15 ; 60G18
• 刊名：Mediterranean Journal of Mathematics
• 出版年：2016
• 出版时间：October 2016
• 年：2016
• 卷：13
• 期：5
• 页码：2425-2442
• 全文大小：580 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  
• 出版者：Birkh盲user Basel
• ISSN：1660-5454
• 卷排序：13

文摘

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 BH, with Hurst parameter \({H \in (\frac{1}{2},1)}\). 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.