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Topics in Almost Automorphy

  • Book
  • © 2005

Overview

Authors:
  1. Gaston M. N’Guérékata

    1. Morgan State University, Baltimore

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  • Contains most up-to-date developments and results in almost periodicity and almost automorphy in abstract spaces
  • Contains a selection of open problems in the field, excellent as a launching point for graduate research

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Table of contents (4 chapters)

  1. Front Matter

    Pages I-XII
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  2. Introduction and Preliminaries

    Pages 1-40

  3. Almost Automorphic Evolution Equations

    Pages 41-94

  4. Almost Periodicity in Fuzzy Setting

    Pages 95-121

  5. Almost Automorphy in Fuzzy Setting

    Pages 123-157

  6. Back Matter

    Pages 159-168
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Keywords

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].

Authors and Affiliations

  • Morgan State University, Baltimore

    Gaston M. N’Guérékata

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