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02604nam a22005175i 4500 |
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978-94-6239-091-1 |
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DE-He213 |
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20151204142352.0 |
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cr nn 008mamaa |
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141008s2014 fr | s |||| 0|eng d |
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|a 9789462390911
|9 978-94-6239-091-1
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|a 10.2991/978-94-6239-091-1
|2 doi
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|a QA431
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|a PBKJ
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|a MAT034000
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|a 515.625
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|a Gil', Michael I.
|e author.
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|a Stability of Neutral Functional Differential Equations
|h [electronic resource] /
|c by Michael I. Gil'.
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|a Paris :
|b Atlantis Press :
|b Imprint: Atlantis Press,
|c 2014.
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| 300 |
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|a XIII, 304 p.
|b online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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|a text file
|b PDF
|2 rda
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|a Atlantis Studies in Differential Equations,
|x 2214-6253 ;
|v 3
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| 505 |
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|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.
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|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.
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| 650 |
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|a Mathematics.
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| 650 |
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|a Matrix theory.
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| 650 |
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|a Algebra.
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| 650 |
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|a Difference equations.
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| 650 |
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|a Functional equations.
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| 650 |
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|a System theory.
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| 650 |
1 |
4 |
|a Mathematics.
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| 650 |
2 |
4 |
|a Difference and Functional Equations.
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| 650 |
2 |
4 |
|a Systems Theory, Control.
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| 650 |
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4 |
|a Linear and Multilinear Algebras, Matrix Theory.
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| 710 |
2 |
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|a SpringerLink (Online service)
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|t Springer eBooks
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| 776 |
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|i Printed edition:
|z 9789462390904
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| 830 |
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|a Atlantis Studies in Differential Equations,
|x 2214-6253 ;
|v 3
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| 856 |
4 |
0 |
|u http://dx.doi.org/10.2991/978-94-6239-091-1
|z Full Text via HEAL-Link
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| 912 |
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|a ZDB-2-SMA
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| 950 |
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|a Mathematics and Statistics (Springer-11649)
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