Mendeley出力
＜図書＞
Averaging in stability theory : a study of resonance multi-frequency systems
| 責任表示 | by M.M. Hapaev |
|---|---|
| シリーズ | Mathematics and its applications ; . Soviet series ; 79 |
| データ種別 | 図書 |
| 出版情報 | Dordrecht ; Boston : Kluwer Academic Publishers , c1993 |
| 本文言語 | 英語 |
| 大きさ | xiii, 279 p. : ill. ; 25 cm |
| 概要 | This volume presents a generalization of the second Lyapunov method involving its combination with the asymptotic averaging method. This generalized method can be applied to multifrequency systems ha...ing resonance harmonics. A new method is also described for estimating small denominators in multifrequency systems which makes use of the nonlinear properties of the system frequencies. The methods derived can also be extended to integro-differential equations, delay differential equations, and to partial differential equations having small nonlinear terms. One of the various applications relating to multifrequency and resonance problems which are discussed in this book is the stability of the classical three-body problem. For specialists in stability theory, nonlinear oscillation theory and asymptotic methods in mathematics and celestial mechanics. 続きを見る |
所蔵情報
| 状態 | 巻次 | 所蔵場所 | 請求記号 | 刷年 | 文庫名称 | 資料番号 | コメント | 予約・取寄 | 複写申込 | 自動書庫 |
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理系図3F 数理独自 | HAPA/10/1 | 1993 |
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068222194007688 |
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書誌詳細
| 別書名 | 原タイトル:Usrednenie v teorii ustoĭchivosti |
|---|---|
| 一般注記 | Rev. translation of: Usrednenie v teorii ustoĭchvosti Bibliography: p. 263-274 Includes index |
| 著者標目 | *Khapaev, M. M. (Mikhail Mikhaĭlovich) |
| 件 名 | LCSH:Stability |
| 分 類 | LCC:QA871 DC20:003/.7 |
| 書誌ID | 1000030422 |
| ISBN | 0792315812 |
| NCID | BA19263847 |
| 巻冊次 | ISBN:0792315812 |
| 登録日 | 2009.09.10 |
| 更新日 | 2009.11.02 |