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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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eBook 79,72 €
price for Spain (gross)
  • ISBN 978-94-6239-091-1
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  • Immediate eBook download after purchase
Hardcover 98,79 €
price for Spain (gross)
  • ISBN 978-94-6239-090-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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 79,72 €
price for Spain (gross)
  • ISBN 978-94-6239-091-1
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 98,79 €
price for Spain (gross)
  • ISBN 978-94-6239-090-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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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