Overview
- Gives an approach based on estimates for matrix-valued functions which allows the investigation of various classes of equations from a unified viewpoint
- Provides the reader with a solution of the generalized Aizerman problem for NDEs
- Explains to the reader the generalized Bohl-Perron principle for neutral type systems and its integral version
- Gives explicit stability conditions for semilinear equations with linear neutral type parts and nonlinear causal mappings
- Includes supplementary material: sn.pub/extras
Part of the book series: Atlantis Studies in Differential Equations (ASDE, volume 3)
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Table of contents (9 chapters)
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Front Matter
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Back Matter
Keywords
About this book
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.Authors and Affiliations
Bibliographic Information
Book Title: Stability of Neutral Functional Differential Equations
Authors: Michael I. Gil'
Series Title: Atlantis Studies in Differential Equations
DOI: https://doi.org/10.2991/978-94-6239-091-1
Publisher: Atlantis Press Paris
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature B.V. 2014
Hardcover ISBN: 978-94-6239-090-4Published: 24 October 2014
eBook ISBN: 978-94-6239-091-1Published: 08 October 2014
Series ISSN: 2214-6253
Series E-ISSN: 2214-6261
Edition Number: 1
Number of Pages: XIII, 304
Topics: Difference and Functional Equations, Systems Theory, Control, Linear and Multilinear Algebras, Matrix Theory