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<図書>
Functional differential operators and equations

責任表示 by Vitalii G. Kurbatov
シリーズ Mathematics and its applications ; v. 473
データ種別 図書
出版者 Dordrecht ; Boston : Kluwer Academic Pub.
出版年 c1999
本文言語 英語
大きさ xx, 432 p. ; 25 cm
概要 This book deals with linear functional differential equations and operator theory methods for their investigation. The main topics are: the equivalence of the input-output stability of the equation ... = and the invertibility of the operator in the class of casual operators; the equivalence of input-output and exponential stability; the equivalence of the dichotomy of solutions for the homogeneous equation x = 0 and the invertibility of the operator; the properties of Green's function; the independence of the stability of an equation from the norm on the space of solutions; shift invariant functional differential equations in Banach space; the possibility of the reduction of an equation of neutral type to an equation of retarded type; special full subalgebras of integral and difference operators, and operators with unbounded memory; and the analogue of Fredholm's alternative for operators with almost periodic coefficients where one-sided invertibility implies two-sided invertibility. 続きを見る

所蔵情報


理系図3F 数理独自 023211999006620 KURB/10/1 1999

書誌詳細

一般注記 Includes bibliography (p. [411]-428) and indexes
著者標目 *Kurbatov, V. G. (Vitaliĭ Gennadʹevich)
件 名 LCSH:Functional differential equations
LCSH:Operator theory
分 類 LCC:QA372
DC21:515/.352
書誌ID 1001390562
ISBN 0792356241
NCID BA4153672X
巻冊次 : alk. paper ; ISBN:0792356241
登録日 2009.11.02
更新日 2009.11.02

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