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language
eng
Author
Description
Parametric nonoscillation region is given for the Mathieu-type differential equation
x′′+(−α+βc(t))x=0,
where α and β are real parameters. Oscillation problem about a kind of Meissner’s equation is also discussed. The obtained result is proved by using Sturm’s comparison theorem and phase plane analysis of the second-order differential equation
y′′+a(t)y′+b(t)y=0,
where a, b:[0,∞)→R are continuous functions. The feature of the result is the ease of chequing whether the obtained condition is satisfied or not. Parametric nonoscilla- tion region about (α,β) and some solution orbits are drawn to help understand the result.
Subject
Parametric nonoscillation region
Damped linear differential equations
Mathieu’s equation
Meissner’s equation
Phase plane analysis
Journal Title
Monatshefte für Mathematik
Volume
186
Issue
4
Start Page
721
End Page
743
ISSN
0026-9255
ISSN(Online)
1436-5081
Published Date
2017-4-11
DOI
NII Type
Journal Article
Format
PDF
Text Version
著者版
OAI-PMH Set
Faculty of Science and Engineering
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