UTA Department of Mathematics

Applied Mathematics Seminar

Date/Time/Room: Thursday (05/01/2003) at 2:00pm in 304 Pickard Hall

Speaker: Professor Alexander Ignatyev, Institute of Applied Mathematics and Mechanics, Ukrainian Academy of Science, Donetsk

"On the stability of a linear oscillator with variable parameters"

Abstract: A criterion of asymptotic stability for a linear oscillator with variable parameters is obtained. It is shown that this criterion is close to necessary and sufficient conditions of asymptotic stability. An instability theorem is proved, and a mechanical example is considered.