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language
eng
Author
Ishihara , Kazuki
Description
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.
Journal Title
AMERICAN MATHEMATICAL SOCIETY, SERIES B
Volume
4
Start Page
31
End Page
46
Published Date
2017-10-13
DOI
NII Type
Journal Article
Format
PDF
Text Version
著者版
OAI-PMH Set
Faculty of Science and Engineering
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