| ファイル情報(添付) | |
| タイトル |
Asymptotic stability for quasi-linear systems whose linear approximation is not assumed to be uniformly attractive
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| 著者 |
Ogami Yuichi
Onitsuka Masakazu
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| 収録物名 |
Annali di matematica pura ed applicata
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| 巻 | 190 |
| 号 | 3 |
| 開始ページ | 409 |
| 終了ページ | 425 |
| 収録物識別子 |
ISSN 03733114
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| 内容記述 |
その他
Sufficient conditions are obtained for uniform stability and asymptotic stability of the zero solution of two-dimensional quasi-linear systems under the assumption that the zero solution of linear approximation is not always uniformly attractive. A class of quasi-linear systems considered in this paper includes a planar system equivalent to the damped pendulum x′′ + h(t)x′ + sin x = 0, where h(t) is permitted to change sign. Some suitable examples are included to illustrate the main results.
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| 主題 |
Asymptotic stability
Uniform stability
Quasi-linear systems
Weakly integrally positive
Discontinuous coefficients
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| 言語 |
英語
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| 資源タイプ | 学術雑誌論文 |
| 出版者 |
Springer Berlin Heidelberg
|
| 発行日 | 2011-09 |
| 権利情報 |
© Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag 2010
The final publication is available at Springer via http://dx.doi.org/10.1007/s10231-010-0156-z.
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| 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 |
[NCID]
AA00531669
|
