报告人：李春秋 （温州大学）

报告题目：Bifurcation from Infinity of Nonautonomous Evolution Equations

报告摘要：In this talk, we consider the bifurcation from infinity of nonautonomous evolution equations near resonance. First, we present a homotopy equivalence relation between a nonautonomous system and the corresponding autonomous one. Based on this relation, we establish some results on dynamic bifurcation from infinity for the abstract nonautonomous evolution equation in the framework of skew-product flows. Then some precise descriptions on dynamic bifurcation from infinity for this equation will be given. Finally, as an application of our main results, we consider the parabolic equation  associated with the Dirichlet boundary condition, where satisfies some appropriate Landesman-Lazer type condition. We will illustrate how to apply our abstract results to this equation, and give a detailed discussion on the dynamical behavior of the equation near resonance.

报告人简介：李春秋，讲师，2018年毕业于天津大学数学学院。导师为李德生教授、赵才地教授。现工作于温州大学数理学院。主要研究非线性发展方程的分支、吸引子理论等。

报告时间：2019年11月21日（星期四）上午9:30—11:30      

报告地点：科技楼南楼602室