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＜電子ブック＞
Stability of Neutral Functional Differential Equations / by Michael I. Gil'
(Atlantis Studies in Differential Equations. ISSN:22146261 ; 3)

版	1st ed. 2014.
出版者	(Paris : Atlantis Press : Imprint: Atlantis Press)
出版年	2014
本文言語	英語
大きさ	XIII, 304 p : online resource
著者標目	*Gil', Michael I author SpringerLink (Online service)
件　名	LCSH:Difference equations LCSH:Functional equations LCSH:System theory LCSH:Control theory LCSH:Algebras, Linear FREE:Difference and Functional Equations FREE:Systems Theory, Control FREE:Linear Algebra
一般注記	Preliminaries -- Eigenvalues and Functions of Matrices -- Difference Equations with Continuous Time -- Linear Differential Delay Equations -- Linear Autonomous NDEs -- Linear Time-variant NDEs -- Nonlinear Vector NDEs -- Absolute Stability of Scalar NDEs -- Bounds for Characteristic Values of NDEs In this monograph the author presents explicit conditions for the exponential, absolute  and  input-to-state stabilities -- including solution estimates -- of certain types of functional differential equations. The main methodology used is based on a combination of recent norm estimates for matrix-valued functions, comprising the generalized Bohl-Perron principle, together with its integral version and the positivity of fundamental solutions. A significant part of the book is especially devoted  to the solution of the generalized Aizerman problem HTTP:URL=https://doi.org/10.2991/978-94-6239-091-1

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