报告题目：时滞随机发展方程的温和解存在唯一性和指数估计

报告人：徐道义

主持人：杨志春

时间：2016年4月27日下午3：30

地点：汇贤楼123教室

主办单位：重庆师范大学数学科学学院

主要内容：

In this talk,we review recent developments of existence-uniqueness and exponential estimate of the pathwise mild solution of retarded stochastic evolution systems driven by a Hilbert-valued Brownian motion.In particularly,the existence-uniqueness of the global pathwise mild solution are given by establishing an integral comparison principle,which extends a classical Pazy theorem on PDEs and the Wintner theorem on ODEs.On the other hand,an exponential estimate for the pathwise mild solution is obtained by constructing a delay integral inequality.The results obtained are applied to a retarded stochastic infinite system and a stochastic partial functional differential equation.Combining some known results,a random attractor is given,whose condition overcome the disadvantage in existing results that the exponential converging rate is restricted by the maximal admissible value for the time delay.

个人简介：

徐道义，四川大学教授、博士生导师、四川省学术和技术带头人。从事微分方程、动力系统与控制理论研究。获得四川省科技进步一等奖、国务院政府特殊津贴、国家有突出贡献的中青年专家。