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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 Gil', Michael I.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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|a Stability of Neutral Functional Differential Equations
|h [electronic resource] /
|c by Michael I. Gil'.
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|a 1st ed. 2014.
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|a Paris :
|b Atlantis Press :
|b Imprint: Atlantis Press,
|c 2014.
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|a XIII, 304 p.
|b online resource.
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|a text
|b txt
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|a computer
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|a online resource
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|a text file
|b PDF
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|a Atlantis Studies in Differential Equations,
|x 2214-6261 ;
|v 3
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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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|a Difference equations.
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|a Functional equations.
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|a System theory.
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|a Control theory.
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|a Algebras, Linear.
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|a Difference and Functional Equations.
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|a Systems Theory, Control .
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|a Linear Algebra.
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|a SpringerLink (Online service)
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|t Springer Nature eBook
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|i Printed edition:
|z 9789462390928
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|i Printed edition:
|z 9789462390904
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|a Atlantis Studies in Differential Equations,
|x 2214-6261 ;
|v 3
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|u https://doi.uam.elogim.com/10.2991/978-94-6239-091-1
|z Texto Completo
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|a ZDB-2-SMA
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|a ZDB-2-SXMS
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|a Mathematics and Statistics (SpringerNature-11649)
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|a Mathematics and Statistics (R0) (SpringerNature-43713)
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