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ID 45171
File
language
eng
Author
Ishibashi, Kazuki Department of Mathematics, Shimane University, Matsue
Description
The purpose of this paper is to provide an oscillation theorem that can be applied to half-linear differential equations with time-varying coefficients. A parametric curve by the coefficients is focused in order to obtain our theorem. This parametric curve is a generalization of the curve given by the characteristic equation of the second-order linear differential equation with constant coefficients. The obtained theorem is proved by transforming the half-linear differential equation to a standard polar coordinates system and using phase plane analysis carefully.
Subject
Oscillation
Half-linear differential equation
Phase plane analysis
Journal Title
Applied Mathematics Letters
Volume
79
Start Page
146
End Page
154
ISSN
0893-9659
Published Date
2018-05
DOI
NII Type
Journal Article
Format
PDF
Text Version
著者版
OAI-PMH Set
Faculty of Science and Engineering