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Pathwise Exponential Stability of Neutral Stochastic Evolution Equations with Small Time Delay

2018-01-02 18:10    
主题:
Pathwise Exponential Stability of Neutral Stochastic Evolution Equations with Small Time Delay
时间:
2018-01-05 10:50-11:40
地点:
卫津路校区应用数学中心111教室
主讲人:
刘凯

主讲人简介

Professor of University of Liverpool, UK

演讲内容介绍

    In this work, we establish a theory about the almost sure pathwise exponential stability property for a class of stochastic neutral functional differential equations by developing a semigroup scheme for the drift part of the systems under consideration and dealing with their pathwise stability through a perturbation approach, rather than through that one to get their moment stability first. As an illustration, we can show that some stochastic systems have their almost sure exponential stability not sensitive to small delays. 

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