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ID 45171
ファイル
言語
英語
著者
Ishibashi, Kazuki Department of Mathematics, Shimane University, Matsue
内容記述(抄録等)
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.
主題
Oscillation
Half-linear differential equation
Phase plane analysis
掲載誌名
Applied Mathematics Letters
79
開始ページ
146
終了ページ
154
ISSN
0893-9659
発行日
2018-05
DOI
資料タイプ
学術雑誌論文
ファイル形式
PDF
著者版/出版社版
著者版
部局
総合理工学部