Stability of Neutral Functional Differential Equations / / by Michael I. Gil'

• Autore: Gil' Michael I
• Pubblicazione: Paris : , : Atlantis Press : , : Imprint : Atlantis Press, , 2014
• Edizione: 1st ed. 2014.
• Descrizione fisica: 1 online resource (311 p.)
• Disciplina: 510; 512.5; 515.75; 515625
• Soggetto topico: Difference equations; Functional equations; System theory; Matrix theory; Algebra; Difference and Functional Equations; Systems Theory, Control; Linear and Multilinear Algebras, Matrix Theory
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: 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.
• Sommario/riassunto: 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.
• Titolo autorizzato: Stability of neutral functional differential equations
• ISBN: 94-6239-091-6
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910299979903321
• Lo trovi qui: Univ. Federico II
• Serie: Atlantis Studies in Differential Equations, . 2214-6253 ; ; 3