Almost Automorphic and Almost Periodic Functions in Abstract Spaces

Author:   Gaston M. N'Guérékata
Publisher:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of the original 1st ed. 2001
ISBN:  

9781441933737


Pages:   138
Publication Date:   01 December 2010
Format:   Paperback
Availability:   In Print   Availability explained
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Almost Automorphic and Almost Periodic Functions in Abstract Spaces


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Overview

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 equations, expanding the core topics with a plethora of groundbreaking new results and applications. For the sake of clarity, and to spare the reader unnecessary technical hurdles, the concepts are studied using classical methods of functional analysis.

Full Product Details

Author:   Gaston M. N'Guérékata
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of the original 1st ed. 2001
Dimensions:   Width: 15.20cm , Height: 0.80cm , Length: 22.90cm
Weight:   0.242kg
ISBN:  

9781441933737


ISBN 10:   1441933735
Pages:   138
Publication Date:   01 December 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

1 Introduction and Preliminaries.- 2 Almost Automorphic Functions with Values in a Banach Space.- 3 Almost Periodic Functions with Values in a Linear Topological Space.- 4 The Equation x?(t) = Ax(t) + f(t).- 5 The Equation x? = f(t, x).- 6 A Case of One-to-One Correspondence between Almost Automorphic and Asymptotically Almost Automorphic Solutions.- 7 Almost Periodic Solutions of the Equation x? = Ax + f in Locally Convex Spaces.- 8 Almost Periodic Solutions of Differential Equations in Normed Spaces.- References.

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