File  
language 
eng

Author  
Description  Parametric nonoscillation region is given for the Mathieutype 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 secondorder 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  00269255

ISSN（Online）  14365081

Published Date  2017411

DOI  
NII Type 
Journal Article

Format 
PDF

Text Version 
著者版

OAIPMH Set 
Faculty of Science and Engineering
