Atlantis Studies in Differential Equations

Stability of Neutral Functional Differential Equations

Authors: Gil', Michael

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  • 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
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  • ISBN 978-94-6239-091-1
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Hardcover $129.00
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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.

Table of contents (9 chapters)

Table of contents (9 chapters)

Buy this book

eBook $99.00
price for USA in USD (gross)
  • ISBN 978-94-6239-091-1
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA in USD
  • ISBN 978-94-6239-090-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Stability of Neutral Functional Differential Equations
Authors
Series Title
Atlantis Studies in Differential Equations
Series Volume
3
Copyright
2014
Publisher
Atlantis Press
Copyright Holder
Atlantis Press and the author
eBook ISBN
978-94-6239-091-1
DOI
10.2991/978-94-6239-091-1
Hardcover ISBN
978-94-6239-090-4
Series ISSN
2214-6253
Edition Number
1
Number of Pages
XIII, 304
Topics