报告主题：二阶自治常微分方程周期函数的单调性
报告人：Kwong, ManKam 教授 （香港理工大学）
报告时间：2018年 5月24日（周四）10:00
报告地点：校本部G507
邀请人：刘见礼
报告摘要：It is well known that all solutions of the initial value problem
are periodic. The period T(α) (time for y(t) to complete one oscillation) is a function of the initial amplitude α. We are interested in finding conditions on the nonlinear function f(y) such that T(α) is a monotonic function of α, namely, that a larger amplitude α leads to a longer (or shorter) period T(α). A special situation is when T(α) is a constant, for any given α. The equation is then said to be isochronous. Known and new results are surveyed.
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