Periodic Perturbation of a differential equation

讲座时间 Datetime: 

星期四, 2019/12/12 - 从 16:00 到 18:00

地点 Venue: 

海滨红楼6号二楼会议室

报告人 Speaker: 

吴奎霖 教授

单位 Affiliation: 

贵州大学

报告摘要 Abstract: 

In this talk, we consider the following equation

x ̈+(1+ε f(t))x=0,

where ε sufficiently small and f(t) is a T-periodic analytic function. We use averaging theory to discuss the existence and period of periodic solution of the equation. Moreover, we also give the approximate solution of the period.