LEADER 04166nam  22008055  450 
001 9910768459003321
005 20230711082849.0
010   $a3-0348-0387-7
024 7 $a10.1007/978-3-0348-0387-8
035   $a(CKB)2670000000342731
035   $a(EBL)1106227
035   $a(OCoLC)827212123
035   $a(SSID)ssj0000870745
035   $a(PQKBManifestationID)11448158
035   $a(PQKBTitleCode)TC0000870745
035   $a(PQKBWorkID)10838736
035   $a(PQKB)11545501
035   $a(DE-He213)978-3-0348-0387-8
035   $a(MiAaPQ)EBC6315832
035   $a(MiAaPQ)EBC1106227
035   $a(Au-PeEL)EBL1106227
035   $a(CaPaEBR)ebr10976238
035   $a(PPN)16830712X
035   $a(EXLCZ)992670000000342731
100   $a20130125d2013      u|             0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aMethods of Nonlinear Analysis$b[electronic resource] $eApplications to Differential Equations /$fby Pavel Drabek, Jaroslav Milota
205   $a2nd ed. 2013.
210  1$aBasel :$cSpringer Basel :$cImprint: Birkhäuser,$d2013.
215   $a1 online resource (651 p.)
225 1 $aBirkhäuser Advanced Texts Basler Lehrbücher,$x2296-4894
300   $aDescription based upon print version of record.
311   $a3-0348-0759-7 
311   $a3-0348-0386-9 
320   $aIncludes bibliographical references (pages 641-649) and index.
327   $aPreface -- 1 Preliminaries -- 2 Properties of Linear and Nonlinear Operators -- 3 Abstract Integral and Differential Calculus -- 4 Local Properties of Differentiable Mappings -- 5 Topological and Monotonicity Methods -- 6 Variational Methods -- 7 Boundary Value Problems for Partial Differential Equations -- Summary of Methods -- Typical Applications -- Comparison of Bifurcation Results -- List of Symbols -- Index -- Bibliography.
330   $aIn this book, fundamental methods of nonlinear analysis are introduced, discussed and illustrated in straightforward examples. Each method considered is motivated and explained in its general form, but presented in an abstract framework as comprehensively as possible. A large number of methods are applied to boundary value problems for both ordinary and partial differential equations. In this edition we have made minor revisions, added new material and organized the content slightly differently. In particular, we included evolutionary equations and differential equations on manifolds. The applications to partial differential equations follow every abstract framework of the method in question. The text is structured in two levels: a self-contained basic level and an advanced level - organized in appendices - for the more experienced reader. The last chapter contains more involved material and can be skipped by those new to the field. This book serves as both a textbook for graduate-level courses and a reference book for mathematicians, engineers and applied scientists. .
410  0$aBirkhäuser Advanced Texts Basler Lehrbücher,$x2296-4894
606   $aMathematical analysis
606   $aFunctional analysis
606   $aDifferential equations
606   $aMathematical optimization
606   $aCalculus of variations
606   $aAnalysis
606   $aFunctional Analysis
606   $aDifferential Equations
606   $aCalculus of Variations and Optimization
615  0$aMathematical analysis.
615  0$aFunctional analysis.
615  0$aDifferential equations.
615  0$aMathematical optimization.
615  0$aCalculus of variations.
615 14$aAnalysis.
615 24$aFunctional Analysis.
615 24$aDifferential Equations.
615 24$aCalculus of Variations and Optimization.
676   $a515.7
700   $aDrabek$b Pavel$4aut$4http://id.loc.gov/vocabulary/relators/aut$042890
702   $aMilota$b Jaroslav$4aut$4http://id.loc.gov/vocabulary/relators/aut
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910768459003321
996   $aMethods of Nonlinear Analysis$93657053
997   $aUNINA