Stability of Neutral Functional Differential Equations by Michael I. Gil'.

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-v...

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Bibliographic Details
Main Author: Gil', Michael I. (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Paris : Atlantis Press : Imprint: Atlantis Press, 2014.
Edition:1st ed. 2014.
Series:Atlantis Studies in Differential Equations, 3
Springer eBook Collection.
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Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
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Description
Summary: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.
Physical Description:XIII, 304 p. online resource.
ISBN:9789462390911
ISSN:2214-6253 ;
DOI:10.2991/978-94-6239-091-1