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035   $a(EBL)1967379
035   $a(OCoLC)893106104
035   $a(SSID)ssj0001372799
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035   $a(PQKBTitleCode)TC0001372799
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035   $a(MiAaPQ)EBC1967379
035   $a(DE-He213)978-94-6239-091-1
035   $a(PPN)182096734
035   $a(EXLCZ)993710000000262425
100   $a20141008d2014      u|         0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aStability of Neutral Functional Differential Equations /$fby Michael I. Gil'
205   $a1st ed. 2014.
210  1$aParis :$cAtlantis Press :$cImprint: Atlantis Press,$d2014.
215   $a1 online resource (311 p.)
225 1 $aAtlantis Studies in Differential Equations,$x2214-6261 ;$v3
300   $aDescription based upon print version of record.
311 08$a94-6239-090-8 
320   $aIncludes bibliographical references and index.
327   $aPreliminaries -- 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.
330   $aIn this monograph the author presents explicit conditions for the exponential, absolute  and  input-to-state stabilities -- including solution estimates -- of certain types of functional differential equations. The main methodology used is based on a combination of recent norm estimates for matrix-valued functions, comprising the generalized Bohl-Perron principle, together with its integral version and the positivity of fundamental solutions. A significant part of the book is especially devoted  to the solution of the generalized Aizerman problem.
410  0$aAtlantis Studies in Differential Equations,$x2214-6261 ;$v3
606   $aDifference equations
606   $aFunctional equations
606   $aSystem theory
606   $aControl theory
606   $aAlgebras, Linear
606   $aDifference and Functional Equations
606   $aSystems Theory, Control
606   $aLinear Algebra
615  0$aDifference equations.
615  0$aFunctional equations.
615  0$aSystem theory.
615  0$aControl theory.
615  0$aAlgebras, Linear.
615 14$aDifference and Functional Equations.
615 24$aSystems Theory, Control.
615 24$aLinear Algebra.
676   $a510
676   $a512.5
676   $a515.75
676   $a515625
700   $aGil'$b Michael I$4aut$4http://id.loc.gov/vocabulary/relators/aut$0150731
906   $aBOOK
912   $a9910299979903321
996   $aStability of neutral functional differential equations$91410040
997   $aUNINA