The maximum number of zeros of functions with parameters and application to differential equations
时间  Datetime
2021-09-15 15:30 — 17:00
地点  Venue
腾讯会议 APP3()
报告人  Speaker
韩茂安
单位  Affiliation
浙江师大、上海师大
邀请人  Host
肖冬梅
备注  remarks
会议 ID：206 339 723
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.
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