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Topics in Almost Automorphy

Autor Gaston M. N'Guérékata
en Limba Engleză Paperback – 18 oct 2010
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].
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Specificații

ISBN-13: 9781441935618
ISBN-10: 1441935614
Pagini: 180
Ilustrații: XII, 168 p.
Dimensiuni: 165 x 248 x 9 mm
Greutate: 0.34 kg
Ediția:Softcover reprint of hardcover 1st ed. 2005
Editura: Springer Us
Colecția Springer
Locul publicării:New York, NY, United States

Public țintă

Research

Cuprins

and Preliminaries.- Almost Automorphic Evolution Equations.- Almost Periodicity in Fuzzy Setting.- Almost Automorphy in Fuzzy Setting.

Caracteristici

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