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010   $a3-319-00849-8
024 7 $a10.1007/978-3-319-00849-3
035   $a(OCoLC)857419143
035   $a(MiFhGG)GVRL6UTT
035   $a(CKB)2670000000533730
035   $a(MiAaPQ)EBC1398605
035   $a(EXLCZ)992670000000533730
100   $a20130808d2013      uy         0
101 0 $aeng
135   $aurun|---uuuua
181   $ctxt
182   $cc
183   $acr
200 10$aAlmost automorphic type and almost periodic type functons in abstract spaces /$fToka Diagana
205   $a1st ed. 2013.
210   $aHeidelberg ;$aNew York $cSpringer$dc2013
215   $a1 online resource (xiv, 303 pages)
225 0 $aGale eBooks
300   $aDescription based upon print version of record.
311   $a3-319-00848-X 
311   $a3-319-03380-8 
320   $aIncludes bibliographical references and index.
327   $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.
330   $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.
606   $aAutomorphic functions
606   $aPeriodic functions
615  0$aAutomorphic functions.
615  0$aPeriodic functions.
676   $a510
676   $a515.352
676   $a515.353
676   $a515.724
686   $a26-01, 34-01$2msc
700   $aDiagana$b Toka$0756010
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910438146803321
996   $aAlmost automorphic type and almost periodic type functons in abstract spaces$94190490
997   $aUNINA