000 03191nam a22005295i 4500
001 978-0-387-27439-3
003 DE-He213
005 20161121230925.0
007 cr nn 008mamaa
008 100301s2005 xxu| s |||| 0|eng d
020 _a9780387274393
_9978-0-387-27439-3
024 7 _a10.1007/b139078
_2doi
050 4 _aQA299.6-433
072 7 _aPBK
_2bicssc
072 7 _aMAT034000
_2bisacsh
082 0 4 _a515
_223
100 1 _aN’Guérékata, Gaston M.
_eauthor.
245 1 0 _aTopics in Almost Automorphy
_h[electronic resource] /
_cby Gaston M. N’Guérékata.
264 1 _aBoston, MA :
_bSpringer US,
_c2005.
300 _aXII, 168 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _aand Preliminaries -- Almost Automorphic Evolution Equations -- Almost Periodicity in Fuzzy Setting -- Almost Automorphy in Fuzzy Setting.
520 _aSince 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].
650 0 _aMathematics.
650 0 _aMathematical analysis.
650 0 _aAnalysis (Mathematics).
650 0 _aDynamics.
650 0 _aErgodic theory.
650 0 _aFourier analysis.
650 0 _aFunctional analysis.
650 0 _aPartial differential equations.
650 1 4 _aMathematics.
650 2 4 _aAnalysis.
650 2 4 _aFunctional Analysis.
650 2 4 _aFourier Analysis.
650 2 4 _aDynamical Systems and Ergodic Theory.
650 2 4 _aPartial Differential Equations.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780387228464
856 4 0 _uhttp://dx.doi.org/10.1007/b139078
912 _aZDB-2-SMA
950 _aMathematics and Statistics (Springer-11649)
999 _c505982
_d505982