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4 edition of Almost automorphic and almost periodic functions in abstract spaces found in the catalog.

Almost automorphic and almost periodic functions in abstract spaces

Gaston M. N"GuГ©rГ©kata

Almost automorphic and almost periodic functions in abstract spaces

by Gaston M. N"GuГ©rГ©kata

  • 88 Want to read
  • 21 Currently reading

Published by Kluwer Academic / Plenum Publishers in New York .
Written in English

    Subjects:
  • Automorphic functions,
  • Almost periodic functions,
  • Differential equations,
  • Banach spaces

  • Edition Notes

    Includes bibliographical (p. 131-135) references and index.

    StatementGaston M. N"Guerekata.
    Classifications
    LC ClassificationsQA353.A9 N48 2001
    The Physical Object
    Paginationx, 138 p. ;
    Number of Pages138
    ID Numbers
    Open LibraryOL22470070M
    ISBN 100306466864

      AbstractThis paper is concerned with the existence and uniqueness of asymptotically almost automorphic solutions to differential equations with piecewise constant argument. To study that, we first introduce several notions about asymptotically almost automorphic type functions and obtain some properties of such functions. Then, on the basis Cited by: 2. Almost periodic solutions to some second-order nonautonomous differential equations. Proceedings of the American Mathematical Society (), no. 1, p. Almost automorphic mild solutions to some classes of nonautonomous higher-order differential equations. Semigroup Forum 82 (), no. 3, p.

    Publications PUBLICATIONS BOOKS 1. G. M. N’Guerekata, Topics in Almost Automorphy, Springer, New York, , ISBN 2. G. M. N’Guerekata, Almost Automorphic and Almost Periodic Functions in Abstract Spaces, Kluwer/Plenum Academic Publishers, New York- Boston- Dordrecht- London-Moscow, October , ISBN: new book, Almost automorphic and almost periodic functions in abstract spaces, published by Kluwer Academic/ Plenum Publishers, New York, N.Y., This book introduces and develops in a fairly homogeneous and unified manner the theory of almost automorphic vector-valued functions in Bochner's sense and the study of almost periodic functions in.

    Stepanov-like weighted pseudo almost automorphic solutions. In §4, we give an example to illustrate our analytical findings. 2. Preliminaries and basic results In this section, we introduce important notations, definitions, lemmas and preliminary facts which are used throughout this work. Let (X,) and (Y, Y) be two complex Banach spaces. This monograph presents recent contributions to the topics of almost periodicity and almost automorphy. Several new methods, including the methods of invariant subspaces and uniform spectrum, as well as various classical methods, such as fixed point theorems, are used to obtain almost periodic Price: $


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Almost automorphic and almost periodic functions in abstract spaces by Gaston M. N"GuГ©rГ©kata Download PDF EPUB FB2

Almost Automorphic Type and Almost Periodic Type Functions in Abstract Spaces. Authors (view affiliations) Toka Diagana; Book. 47 Citations; k Downloads; Pseudo-Almost Automorphic Functions. Toka Diagana. Pages This book presents a comprehensive introduction to the concepts of almost periodicity, asymptotic almost.

Almost Automorphic and Almost Periodic Functions in Abstract Spaces introduces and develops the theory of almost automorphic vector-valued functions in Bochner's sense and the study of almost periodic functions in a locally convex space in a homogenous and unified manner.

It also applies the results obtained to study almost automorphic solutions of abstract differential. Almost Automorphic and Almost Periodic Functions in Abstract Spaces introduces and develops the theory of almost automorphic vector-valued functions in Bochner's sense and the study of almost Read more.

Since the spaces of uniformly recurrent, almost periodic and (compactly) almost automorphic functions are closed under reflections at zero ([8], [18]), the following proposition simply follows Author: Toka Diagana.

InG.M. N'Guérékata formed the first book on almost automorphic and almost periodic functions in abstract spaces (see [18]), since then many research works on. “This book is a nice text for those interested in the topics of almost automorphy and almost periodicity in abstract spaces.

It is worth mentioning that some results are new or not easily accessible in the mathematical literature, which makes the book even more : Springer International Publishing. Almost Automorphic and Almost Periodic Functions in Abstract Spaces introduces and develops the theory of almost automorphic vector-valued functions in Bochner's sense and the study of almost periodic functions in a locally convex space in a homogenous and unified manner.

: Almost Automorphic Type and Almost Periodic Type Functions in Abstract Spaces (): Toka Diagana: BooksCited by: springer, This book presents a comprehensive introduction to the concepts of almost periodicity, asymptotic almost periodicity, almost automorphy, asymptotic almost automorphy, pseudo-almost periodicity, and pseudo-almost automorphy as well as their recent generalizations.

Some of the results presented are either new or else cannot be easily found in the mathematical literature. Read "Almost Automorphic Type and Almost Periodic Type Functions in Abstract Spaces" by Toka Diagana available from Rakuten Kobo. This book presents a comprehensive introduction to the concepts of almost periodicity, asymptotic almost periodicity, al Brand: Springer International Publishing.

[4] T. Diagana, Almost Automorphic Type and Almost Periodic Type Functions in Abstract Spaces, Springer, New York, NY, USA, [5] G. N'Guerekata, Almost Automorphic and Almost Periodicity Functions in Abstract Spaces, Kluwer Academic Publishers, Dordrecht, Netherlands, Almost Automorphic Type and Almost Periodic Type Functions in Abstract Spaces | This book presents a comprehensive introduction to the concepts of almost periodicity, asymptotic almost periodicity, almost automorphy, asymptotic almost automorphy, pseudo-almost periodicity, and pseudo-almost automorphy as well as their recent generalizations.

Recall that pseudo almost automorphic func- tions are more general than pseudo almost periodic functions. They were introduced recently in [5] and [6], where the authors studied some fundamental properties of pseudo almost automorphic functions.

Almost automorphic functions were * Corresponding by: Generalized Weighted Pseudo-Almost Periodic Solutions and Generalized Weighted Pseudo-Almost Automorphic Solutions of Abstract Volterra Integro-Differential Inclusions Kostić, Marko, African Diaspora Journal of Mathematics, ; Almost periodicity of abstract Volterra integro-differential equations Kostić, Marko, Advances in Operator Theory, Cited by: 2.

[29] G. N’GU´ER ´EKATA, Almost Automorphic and Almost Periodic Functions in Abstract Spaces, Kluwer Acad. Publ., Dordrecht, [30] G. N’GUER ´EKATA AND M. KOSTIC, Generalized asymptotically almost periodic and generalized asymptotically almost automorphic solutions of abstract multi-term fractional dif.

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. Diagana, Almost automorphic type and almost periodic type functions in abstract spaces, Springer–Verlag, New York, Zentralblatt MATH: T.

Diagana, K. Ezzinbi, and M. Miraoui, Pseudo-almost periodic and pseudo-almost automorphic solutions to some evolution equations involving theoretical measure theory, Cubo, 16 (), no Cited by: 1. REAL FUNCTIONS ABSTRACT SPACES AND ORTHOGONAL SERIES Download Real Functions Abstract Spaces And Orthogonal Series ebook PDF or Read Online books in PDF, EPUB, and Mobi Format.

Click Download or Read Online button to REAL FUNCTIONS ABSTRACT SPACES AND ORTHOGONAL SERIES book pdf for free now. G.M. N'GuérékataAlmost Automorphic and Almost Periodic Functions in Abstract Spaces Kluwer Academic/Plenum Publ., New York, Boston, Dordrecht, London, Moscow ()Cited by: The purpose of this paper is to extend the main properties of almost automorphic functions with values in Banach spaces, to the class of almost automorphic functions with values in other important abstract spaces in functional analysis, namely the p-Fr´echet spaces, 0.

We obtain the existence of pseudo almost automorphic solutions to the -dimensional heat equation with -pseudo almost automorphic by: 5.G. M. N'Guérékata, Almost Automorphic and Almost Periodic Functions in Abstract Spaces, Kluwer Academic/Plenum Publishers, New York, Cited by: 1.Almost Automorphic Groups 25 (v) The decomposition of an asymptotically almost automorphic function is unique.

Theorem (see [11]): If (X,(p i) i∈N,d)is a Fréchet space, then the space of almost automorphic X-valued functions AA(X), is a Fréchet space with respect to the countable family of seminorms given by q i(f) = sup{p i(f(t));t ∈ R},i∈ N, which generates the.