| ファイル情報(添付) |
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| タイトル |
Integral condition for oscillation of half-linear differential equations with damping
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| 著者 |
Ishibashi Kazuki
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| 収録物名 |
Applied Mathematics Letters
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| 巻 | 79 |
| 開始ページ | 146 |
| 終了ページ | 154 |
| 収録物識別子 |
ISSN 0893-9659
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| 内容記述 |
その他
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.
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| 主題 |
Oscillation
Half-linear differential equation
Phase plane analysis
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| 言語 |
英語
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| 資源タイプ | 学術雑誌論文 |
| 発行日 | 2018-05 |
| 出版タイプ | Accepted Manuscript(出版雑誌の一論文として受付されたもの。内容とレイアウトは出版社の投稿様式に沿ったもの) |
| アクセス権 | オープンアクセス |
| 関連情報 |