LEADER 03944nam  22006015  450 
001 9910300135803321
005 20200702073930.0
010   $a3-030-00449-X
024 7 $a10.1007/978-3-030-00449-1
035   $a(CKB)4100000007102907
035   $a(MiAaPQ)EBC5566821
035   $a(DE-He213)978-3-030-00449-1
035   $a(PPN)231464967
035   $a(EXLCZ)994100000007102907
100   $a20181023d2018      u|         0
101 0 $aeng
135   $aurcnu||||||||
181   $2rdacontent
182   $2rdamedia
183   $2rdacarrier
200 10$aSemilinear Evolution Equations and Their Applications /$fby Toka Diagana
205   $a1st ed. 2018.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2018.
215   $a1 online resource (199 pages)
311   $a3-030-00448-1 
320   $aIncludes bibliographical references and index.
327   $a1. Banach and Hilbert Spaces -- 2. Operator Theory -- 3. Semigroup of Linear Operators -- 4. Almost Periodic Functions and Their Spectral Theory -- 5. Semilinear Difference Equations -- 6. Singular Difference Equations -- 7. Fractional Difference Equations -- 8. First-Order Semilinear Evolution Equations -- 9. Degenerate First-Order Semilinear Evolution Equations -- 10. Fractional Semilinear Evolution Equations -- 11. Second-Order Semilinear Evolution Equations -- 12. Degenerate Second-Order Evolution Equations -- 13. Applications.
330   $aThis book, which is a continuation of Almost Automorphic Type and Almost Periodic Type Functions in Abstract Spaces, presents recent trends and developments upon fractional, first, and second order semilinear difference and differential equations, including degenerate ones. Various stability, uniqueness, and existence results are established using various tools from nonlinear functional analysis and operator theory (such as semigroup methods). Various applications to partial differential equations and the dynamic of populations are amply discussed. This self-contained volume is primarily intended for advanced undergraduate and graduate students, post-graduates and researchers, but may also be of interest to non-mathematicians such as physicists and theoretically oriented engineers. It can also be used as a graduate text on evolution equations and difference equations and their applications to partial differential equations and practical problems arising in population dynamics. For completeness, detailed preliminary background on Banach and Hilbert spaces, operator theory, semigroups of operators, and almost periodic functions and their spectral theory are included as well.
606   $aFunctional analysis
606   $aOperator theory
606   $aPartial differential equations
606   $aDifference equations
606   $aFunctional equations
606   $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066
606   $aOperator Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M12139
606   $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155
606   $aDifference and Functional Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12031
615  0$aFunctional analysis.
615  0$aOperator theory.
615  0$aPartial differential equations.
615  0$aDifference equations.
615  0$aFunctional equations.
615 14$aFunctional Analysis.
615 24$aOperator Theory.
615 24$aPartial Differential Equations.
615 24$aDifference and Functional Equations.
676   $a515.7
676   $a515.353
700   $aDiagana$b Toka$4aut$4http://id.loc.gov/vocabulary/relators/aut$0756010
906   $aBOOK
912   $a9910300135803321
996   $aSemilinear Evolution Equations and Their Applications$91563755
997   $aUNINA