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Stability of Neutral Functional Differential Equations (Atlantis Studies in Differential Equations, nr. 3)

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en Limba Engleză Hardback – 24 Oct 2014
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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Specificații

ISBN-13: 9789462390904
ISBN-10: 9462390908
Pagini: 250
Ilustrații: XIII, 304 p.
Dimensiuni: 155 x 235 x 25 mm
Greutate: 0.65 kg
Ediția: 2014
Editura: ATLANTIS PRESS
Colecția Atlantis Press
Seria Atlantis Studies in Differential Equations

Locul publicării: Paris, Netherlands

Public țintă

Research

Cuprins

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.

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