Connectedness and necessary conditions for an extremum

＜図書＞
Connectedness and necessary conditions for an extremum

責任表示	by Alexander P. Abramov
シリーズ	Mathematics and its applications ; v. 431
データ種別	図書
出版情報	Dordrecht ; Boston, Mass. : Kluwer Academic Publishers , c1998
本文言語	英語
大きさ	xi, 199 p. : ill. ; 25 cm
概要	For mathematicians and graduate students interested in optimization, optimal control, and mathematical economics, investigates the necessary conditions of an extremum in which topological connectednes... plays a major role. Presenting new and original results, synthesizes the Dybrovitskii-Milyutin approach based on functional analysis with topological methods to derive the supposed alternative conditions of an extremum, that is, if the Euler equation has the trivial solution only at an extreme point, then some inclusion is valid for the functionals belonging to the dual space. Also explains why the Kuhn- Tucker theorem establishes the restrictions on the signs of the Lagrange multipliers for the inequality restraint but no analogous restrictions on the multipliers for the equality constraints. Translated and revised from the 1996 Russian edition published by Computing Centre RAS Publications, Moscow. Annotation copyrighted by Book News, Inc., Portland, OR続きを見る
電子版へのリンク	https://hdl.handle.net/2324/6876770

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
		理系図3F 数理独自	ABRA/43/1	c1998		023211998001122		予約・取寄			予約・取寄
		芸工図 2F 書架	415.2/A14	1998		072032198001402		予約・取寄			予約・取寄

別書名	原タイトル:Связность и необходимые условия экстремума 原タイトル:Svi︠a︡znostʹ i neobkhodimye uslovii︠a︡ ėkstremuma
一般注記	Includes bibliographical references (p. 189-195) and index
著者標目	*Abramov, A. P. (Alksandr Petrovich)
統一書名標目	Svi︠a︡znostʹ i neobkhodimye uslovii︠a︡ ėkstremuma
件　名	LCSH:Topological spaces LCSH:Convex functions LCSH:Connections (Mathematics) LCSH:Maxima and minima
分　類	LCC:QA322 DC21:519.3
書誌ID	1001245466
ISBN	0792349105
NCID	BA3543884X
巻冊次	ISBN:0792349105
登録日	2009.09.18
更新日	2009.11.02