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Stability of Neutral Functional Differential Equations

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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Gil', Michael I. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Paris : Atlantis Press : Imprint: Atlantis Press, 2014.
Edición:1st ed. 2014.
Colección:Atlantis Studies in Differential Equations, 3
Temas:
Acceso en línea:Texto Completo

MARC

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245 1 0 |a Stability of Neutral Functional Differential Equations  |h [electronic resource] /  |c by Michael I. Gil'. 
250 |a 1st ed. 2014. 
264 1 |a Paris :  |b Atlantis Press :  |b Imprint: Atlantis Press,  |c 2014. 
300 |a XIII, 304 p.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
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490 1 |a Atlantis Studies in Differential Equations,  |x 2214-6261 ;  |v 3 
505 0 |a 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. 
520 |a 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. 
650 0 |a Difference equations. 
650 0 |a Functional equations. 
650 0 |a System theory. 
650 0 |a Control theory. 
650 0 |a Algebras, Linear. 
650 1 4 |a Difference and Functional Equations. 
650 2 4 |a Systems Theory, Control . 
650 2 4 |a Linear Algebra. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer Nature eBook 
776 0 8 |i Printed edition:  |z 9789462390928 
776 0 8 |i Printed edition:  |z 9789462390904 
830 0 |a Atlantis Studies in Differential Equations,  |x 2214-6261 ;  |v 3 
856 4 0 |u https://doi.uam.elogim.com/10.2991/978-94-6239-091-1  |z Texto Completo 
912 |a ZDB-2-SMA 
912 |a ZDB-2-SXMS 
950 |a Mathematics and Statistics (SpringerNature-11649) 
950 |a Mathematics and Statistics (R0) (SpringerNature-43713)