报告题目:Singularly perturbed stochastic functional differential equations with infinite delay
报告人:吴付科,教授,华中科技大学
照片:
邀请人: 王世花
报告时间:1 月12 日 (周五) 15:30-17:00
报告地点:北校区会议中心206会议室
报告人简介:吴付科,华中科技大学数学与统计学院教授、博士生导师,主要从事随机微分方程及其相关领域研究,2011年入选教育部新世纪优秀人才支持计划,2014年获得国家自然科学基金委员会优秀青年基金资助,主要成果发表于SIAM系列,JDE和SPA等知名期刊上。
报告摘要:
This talk examines singularly perturbed stochastic functional differential equations (SFDEs)with infinite delay. The fast component system under consideration is also described by the SFDE, which introduces essential difficulties. This talk aims to establish the averaging principle to simplify the original system. To overcome the difficulty due to delay and the coupling of the segment process, some properties as continuity and tightness on a space of continuous functions have to be investigated for the segment process. This work coauthors with Professors George Yin and Chao Zhu