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<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
出版者 Dordrecht ; Boston : Kluwer Academic Publishers
出版年 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


理系図3F 数理独自 068222194007688 HAPA/10/1 1993

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

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