03120nam 22007215 450 991029997990332120250717140311.094-6239-091-610.2991/978-94-6239-091-1(CKB)3710000000262425(EBL)1967379(OCoLC)893106104(SSID)ssj0001372799(PQKBManifestationID)11798062(PQKBTitleCode)TC0001372799(PQKBWorkID)11305250(PQKB)10433501(MiAaPQ)EBC1967379(DE-He213)978-94-6239-091-1(PPN)182096734(EXLCZ)99371000000026242520141008d2014 u| 0engur|n|---|||||txtccrStability of Neutral Functional Differential Equations /by Michael I. Gil'1st ed. 2014.Paris :Atlantis Press :Imprint: Atlantis Press,2014.1 online resource (311 p.)Atlantis Studies in Differential Equations,2214-6261 ;3Description based upon print version of record.94-6239-090-8 Includes bibliographical references and index.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.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.Atlantis Studies in Differential Equations,2214-6261 ;3Difference equationsFunctional equationsSystem theoryControl theoryAlgebras, LinearDifference and Functional EquationsSystems Theory, ControlLinear AlgebraDifference equations.Functional equations.System theory.Control theory.Algebras, Linear.Difference and Functional Equations.Systems Theory, Control.Linear Algebra.510512.5515.75515625Gil' Michael Iauthttp://id.loc.gov/vocabulary/relators/aut150731BOOK9910299979903321Stability of neutral functional differential equations1410040UNINA