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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