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

Stability of Neutral Functional Differential Equations

byMichael I. Gil'

Hardcover | October 24, 2014

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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.
Title:Stability of Neutral Functional Differential EquationsFormat:HardcoverDimensions:304 pages, 23.5 × 15.5 × 0.03 inPublished:October 24, 2014Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9462390908

ISBN - 13:9789462390904


Table of Contents

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.