Stability of Neutral Functional Differential Equations: Atlantis Studies in Differential Equations, cartea 3
Autor Michael I. Gil'en Limba Engleză Hardback – 24 oct 2014
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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Specificații
ISBN-13: 9789462390904
ISBN-10: 9462390908
Pagini: 250
Ilustrații: XIII, 304 p.
Dimensiuni: 155 x 235 x 25 mm
Greutate: 0.63 kg
Ediția:2014
Editura: ATLANTIS PRESS
Colecția Atlantis Press
Seria Atlantis Studies in Differential Equations
Locul publicării:Paris, Netherlands
ISBN-10: 9462390908
Pagini: 250
Ilustrații: XIII, 304 p.
Dimensiuni: 155 x 235 x 25 mm
Greutate: 0.63 kg
Ediția:2014
Editura: ATLANTIS PRESS
Colecția Atlantis Press
Seria Atlantis Studies in Differential Equations
Locul publicării:Paris, Netherlands
Public țintă
ResearchCuprins
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.
Textul de pe ultima copertă
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.
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.
Caracteristici
Gives an approach based on estimates for matrix-valued functions which allows the investigation of various classes of equations from a unified viewpoint Provides the reader with a solution of the generalized Aizerman problem for NDEs Explains to the reader the generalized Bohl-Perron principle for neutral type systems and its integral version Gives explicit stability conditions for semilinear equations with linear neutral type parts and nonlinear causal mappings Includes supplementary material: sn.pub/extras