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Topics in Almost Automorphy (Paperback, Softcover reprint of hardcover 1st ed. 2005)
Loot Price: R1,518
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Topics in Almost Automorphy (Paperback, Softcover reprint of hardcover 1st ed. 2005)
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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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