Gil' Stability of Neutral Functional Differential Equations

2014
ISBN: 978-94-6239-091-1
Verlag: Atlantis Press
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 3, 304 Seiten, eBook

Reihe: Atlantis Studies in Differential Equations

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.

Zielgruppe

Research

Autoren/Hrsg.

Gil', Michael I.

Gil', Michael

Inhaltsverzeichnis

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.