Michael I. Gil'

Stability of Neutral Functional Differential Equations (eBook, PDF)

• Format: PDF

Produktbeschreibung

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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Produktdetails

• Verlag: Springer-Verlag GmbH
• Seitenzahl: 304
• Erscheinungstermin: 8. Oktober 2014
• Englisch
• ISBN-13: 9789462390911
• Artikelnr.: 43794961

Inhaltsangabe

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.