Nonuniform dichotomy spectrum and reducibility for nonautonomous equations

For nonautonomous linear differential equations with

nonuniform hyperbolicity, we introduce a definition for nonuniform dichotomy spectrum, which can be seen as a generalization of Sacker-Sell spectrum. We prove a spectral theorem and use the spectral theorem to prove a reducibility result.

专家简介：储继峰，上海师范大学数学系教授、博士生导师，上海师范大学教务处副处长。致力于常微分方程与动力系统的研究工作，入选教育部新世纪优秀人才、德国洪堡学者，荣获教育部霍英东高校青年教师奖、上海市高等教育教学成果一等奖、山东省自然科学二等奖等奖项。在“微分算子谱理论及其最优估计”、“低自由度保守系统稳定性”、“海洋水波定性分析”等三个方面取得一些有意义的成果，相关结果发表在Math. Ann.、Studia Math.、J. Diff. Equations、Studies App. Math.等期刊上。