学术报告

报告题目：On growth conditions for uniform asymptotic stability of damped linear oscillators with time-varying coefficients

报告人：Professor Jitsuro Sugie（Shimane University, Japan）

报告时间：2017年11月21日（星期二）下午4:00-5:00

报告地点：创新园大厦A1101

校内联系人：卢玉峰 教授      联系电话：84708352

报告摘要:This talk clarifies the relationship between some sufficient conditions which guaranteethat the equilibrium of the damped harmonic oscillator

$$x’’ +h(t)x’+\omega^2 x=0$$

is uniformly asymptotically stable, where $h:[0,\infty)\to [0,\infty)$ is locally integrable.Those conditions work to suppress the rapid growth of the frictional force expressedby the integral amount of the damping coefficient $h$. The obtained sufficient conditions are compared with known conditions for uniform asymptotic stability. A relationship diagram is shown to facilitate understanding of the  conditions. By giving a concrete example, remaining problems are pointed out.

报告人简介：Jitsuro Sugie(杉江实郎)，日本岛根大学教授，1990年3月在东北大学理学部数学科获得博士学位。主要研究领域有常微分方程、动力系统、差分方程、生物数学等。在SIAM J. Appl. Math.， Proc. Amer. Math. Soc.， J. Math. Anal. Appl. ，Nonlinear Anal， Appl. Math. Compt.等杂志发表论文100余篇.