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Topics in Almost Automorphy

Authors: N'Guérékata, Gaston M.

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  • ISBN 978-1-4419-3561-8
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About this book

Since the publication of our first book [80], there has been a real resiu-gence of interest in the study of almost automorphic functions and their applications ([16, 17, 28, 29, 30, 31, 32, 40, 41, 42, 46, 51, 58, 74, 75, 77, 78, 79]). New methods (method of invariant s- spaces, uniform spectrum), and new concepts (almost periodicity and almost automorphy in fuzzy settings) have been introduced in the literature. The range of applications include at present linear and nonlinear evolution equations, integro-differential and functional-differential equations, dynamical systems, etc...It has become imperative to take a bearing of the main steps of the the­ ory. That is the main purpose of this monograph. It is intended to inform the reader and pave the road to more research in the field. It is not a self contained book. In fact, [80] remains the basic reference and fimdamental source of information on these topics. Chapter 1 is an introductory one. However, it contains also some recent contributions to the theory of almost automorphic functions in abstract spaces. VIII Preface Chapter 2 is devoted to the existence of almost automorphic solutions to some Unear and nonUnear evolution equations. It con­ tains many new results. Chapter 3 introduces to almost periodicity in fuzzy settings with applications to differential equations in fuzzy settings. It is based on a work by B. Bede and S. G. Gal [40].

Table of contents (4 chapters)

Table of contents (4 chapters)
  • Introduction and Preliminaries

    Pages 1-40

  • Almost Automorphic Evolution Equations

    Pages 41-94

  • Almost Periodicity in Fuzzy Setting

    Pages 95-121

  • Almost Automorphy in Fuzzy Setting

    Pages 123-157

Buy this book

eBook $89.00
price for USA in USD (gross)
  • ISBN 978-0-387-27439-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $119.99
price for USA in USD
  • ISBN 978-0-387-22846-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $119.99
price for USA in USD
  • ISBN 978-1-4419-3561-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Topics in Almost Automorphy
Authors
Copyright
2005
Publisher
Springer US
Copyright Holder
Springer-Verlag US
eBook ISBN
978-0-387-27439-3
DOI
10.1007/b139078
Hardcover ISBN
978-0-387-22846-4
Softcover ISBN
978-1-4419-3561-8
Edition Number
1
Number of Pages
XII, 168
Topics