Gil' Stability of Neutral Functional Differential Equations
1. Auflage 2014
ISBN: 978-94-6239-091-1
Verlag: Atlantis Press
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, 304 Seiten
Reihe: Atlantis Studies in Differential Equations
ISBN: 978-94-6239-091-1
Verlag: Atlantis Press
Format: PDF
Kopierschutz: 1 - PDF Watermark
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.
Weitere Infos & Material
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.
