动力系统与微分方程系列学术报告（九）：The maximum number of zeros of functions with parameters and application to differential equations

讲座时间 Datetime: 

星期二, 2020/12/01 - 从 16:30 到 17:30

地点 Venue: 

腾讯会议 820 770 793

报告人 Speaker: 

韩茂安 教授

单位 Affiliation: 

上海师范大学

报告摘要 Abstract: 

In this paper we first study the problem of finding the maximum number of zeros of functions with parameters and then apply the results obtained to smooth or piecewise smooth planar autonomous systems and scaler periodic equations to study the number of limit cycles or periodic solutions, improving some fundamental results both on the maximum number of limit cycles bifurcating from an elementary focus of order k or a limit cycle of multiplicity k, or from a period annulus, and on the maximum number of periodic solutions for scaler periodic smooth or piecewise smooth equations as well.