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Topics in Almost Automorphy

Topics in Almost Automorphy Mathematics

Topics in Almost Automorphy

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Description
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].
Product details
Edition:
1
Number of Pages:
184
Release Date:
2004-12-15
Publication Date:
2004-12-15
Publisher:
Springer US
Languages:
Original: English
ISBN10:
1591585872364204406903872284621402097905
ISBN13:
9780387228464
GPSR Manufacturer Reference:
Weight:
555 g
Height:
183 cm
Width:
260 cm
Thickness:
15 cm
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