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<図書>
Basic topological structures of ordinary differential equations

責任表示 by V.V. Filippov
シリーズ Mathematics and its applications ; v. 432
データ種別 図書
出版者 Dordrecht ; Boston : Kluwer Academic Publishers
出版年 c1998
本文言語 英語
大きさ xiv, 516 p. ; 25 cm
概要 Traditionally, equations with discontinuities in space variables follow the ideology of the sliding mode'. This book contains the first account of the theory which allows the consideration of exact s...lutions for such equations. The difference between the two approaches is illustrated by scalar equations of the type y =f(y) and by equations arising under the synthesis of optimal control. A detailed study of topological effects related to limit passages in ordinary differential equations widens the theory for the case of equations with continuous right-hand sides, and makes it possible to work easily with equations with complicated discontinuities in their right-hand sides and with differential inclusions. Audience: This volume will be of interest to graduate students and researchers whose work involves ordinary differential equations, functional analysis and general topology. 続きを見る

所蔵情報


理系図3F 数理独自 023211998008383 FILI/30/1 c1998

理系図 自動書庫 054212000000665 413.6/F 26/54000066 1998

書誌詳細

一般注記 Includes bibliographical references (p. [507]-509) and index
著者標目 *Filippov, Vladimir Vasilʹevich
件 名 LCSH:Differential equations
LCSH:Differential inclusions
LCSH:Topology
分 類 LCC:QA372
DC21:515/.35
書誌ID 1001403983
ISBN 0792349512
NCID BA37622635
巻冊次 ISBN:0792349512
登録日 2009.11.02
更新日 2009.11.02

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