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008 130808s2013 gw | s |||| 0|eng d
020 _a9783319008493
_9978-3-319-00849-3
024 7 _a10.1007/978-3-319-00849-3
_2doi
050 4 _aQA372
072 7 _aPBKJ
_2bicssc
072 7 _aMAT007000
_2bisacsh
082 0 4 _a515.352
_223
100 1 _aDiagana, Toka.
_eauthor.
245 1 0 _aAlmost Automorphic Type and Almost Periodic Type Functions in Abstract Spaces
_h[electronic resource] /
_cby Toka Diagana.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2013.
300 _aXIV, 303 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _a1. Metric, Banach, and Hilbert Spaces -- 2. Linear Operators on Banach Spaces -- 3. Almost Periodic Functions -- 4. Almost Automorphic Functions -- 5. Pseudo-Almost Periodic Functions -- 6. Pseudo-Almost Automorphic Functions -- 7. Existence Results for Some Second-Order Differential Equations -- 8. Existence Results to Some Integrodifferential Equations -- 9. Existence of C(m)-Pseudo-Almost Automorphic Solutions -- 10. Pseudo-Almost Periodic Solutions to Some Third-Order Differential Equations -- 11. Pseudo-Almost Automorphic Solutions to Some Sobolev-Type Equations -- 12. Stability Results for Some Higher-Order Difference Equations -- 13. Appendix A -- References -- Index.
520 _aThis book presents a comprehensive introduction to the concepts of almost periodicity, asymptotic almost periodicity, almost automorphy, asymptotic almost automorphy, pseudo-almost periodicity, and pseudo-almost automorphy as well as their recent generalizations. Some of the results presented are either new or else cannot be easily found in the mathematical literature. Despite the noticeable and rapid progress made on these important topics, the only standard references that currently exist on those new classes of functions and their applications are still scattered research articles. One of the main objectives of this book is to close that gap. The prerequisites for the book is the basic introductory course in real analysis. Depending on the background of the student, the book may be suitable for a beginning graduate and/or advanced undergraduate student. Moreover, it will be of a great interest to researchers in mathematics as well as in engineering, in physics, and related areas. Further, some parts of the book may be used for various graduate and undergraduate courses.
650 0 _aMathematics.
650 0 _aHarmonic analysis.
650 0 _aOperator theory.
650 0 _aDifferential equations.
650 0 _aPartial differential equations.
650 1 4 _aMathematics.
650 2 4 _aOrdinary Differential Equations.
650 2 4 _aPartial Differential Equations.
650 2 4 _aOperator Theory.
650 2 4 _aAbstract Harmonic Analysis.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319008486
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-319-00849-3
912 _aZDB-2-SMA
942 _2Dewey Decimal Classification
_ceBooks
999 _c45410
_d45410