ID | 45168 |
File | |
language |
eng
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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
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Journal Title |
Monatshefte für Mathematik
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Volume | 186
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Issue | 4
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Start Page | 721
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End Page | 743
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ISSN | 0026-9255
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ISSN(Online) | 1436-5081
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Published Date | 2017-4-11
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DOI | |
NII Type |
Journal Article
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Format |
PDF
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Text Version |
著者版
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OAI-PMH Set |
Faculty of Science and Engineering
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