Stability of Neutral Functional Differential Equations

Specificaties
Gebonden, 304 blz. | Engels
Atlantis Press | 2014e druk, 2014
ISBN13: 9789462390904
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Atlantis Press 2014e druk, 2014 9789462390904
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Samenvatting

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.

Specificaties

ISBN13:9789462390904
Taal:Engels
Bindwijze:gebonden
Aantal pagina's:304
Druk:2014

Inhoudsopgave

<p>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.</p>

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        Stability of Neutral Functional Differential Equations