ファイル
言語
英語
著者
Ishihara , Kazuki
内容記述(抄録等)
This paper presents sufficient conditions which guarantee that the equilibrium of the damped harmonic oscillator
x”+ h(t)x’+ ω2x = 0
is uniformly asymptotically stable, where h : [0,∞) → [0,∞) is locally integrable.
These conditions work to suppress the rapid growth of the frictional force expressed by the integral amount of the damping coefficient h. The obtained sufficient conditions are compared with known conditions for uniform asymptotic stability. Two diagrams are included to facilitate understanding of the conditions. By giving a concrete example, remaining problems are pointed
out.
掲載誌名
AMERICAN MATHEMATICAL SOCIETY, SERIES B
4
開始ページ
31
終了ページ
46
発行日
2017-10-13
DOI
資料タイプ
学術雑誌論文
ファイル形式
PDF
著者版/出版社版
著者版
部局
総合理工学部 数理科学科