methods of nonlinear analysis applications to differential equations

methods of nonlinear analysis applications to differential equations

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1、8146_Drabek_Titelei.indd111.04.200711:22:08BirkhäuserAdvancedTextsEditedbyHerbertAmann,ZürichUniversityStevenG.Krantz,WashingtonUniversity,St.LouisShrawanKumar,UniversityofNorthCarolinaatChapelHillJanNekovář,UniversitéPierreetMarieCurie,Paris8146_Drabek_Titelei.indd211.04.200711:22:08PavelDr

2、ábekJaroslavMilotaMethodsofNonlinearAnalysisApplicationstoDifferentialEquationsBirkhäuserBasel·Boston·Berlin8146_Drabek_Titelei.indd311.04.200711:22:08Authors:PavelDrábekJaroslavMilotaDepartmentofMathematicsDepartmentofMathematicalAnalysisFacultyofAppliedSciencesFacultyofMathematicsandPhysic

3、sUniversityofWestBohemiainPilsenCharlesUniversityinPragueUniverzitní8Sokolovská8330614Plzeň18675PrahaCzechRepublicCzechRepublic2000MathematicsSubjectClassi¿cation34Bxx,35J20,35J25,35J65,47A75,47Hxx,49H15,49H29,49J35,49J50,49K15,49K20,49K35,49Rxx,58A05,58A10,58E05,58E07,58C15,58C30,58C35Libra

4、ryofCongressControlNumber:2007926174BibliographicinformationpublishedbyDieDeutscheBibliothekDieDeutscheBibliothekliststhispublicationintheDeutscheNationalbibliogra¿e;detailedbibliographicdataisavailableintheInternetat.ISBN978-3-7643-8146-2BirkhäuserVerlagAG,BaselÂBostonÂBe

5、rlinThisworkissubjecttocopyright.Allrightsarereserved,whetherthewholeorpartofthematerialisconcer-ned,speci¿callytherightsoftranslation,reprinting,re-useofillustrations,recitation,broadcasting,reproduc-tiononmicro¿lmsorinotherways,andstorageindatabanks.Foranykindofusepermissionofthecopyrighto

6、wnermustbeobtained.©2007BirkhäuserVerlagAGBasel·Boston·BerlinP.O.Box133,CH-4010Basel,SwitzerlandPartofSpringerScience+BusinessMediaPrintedonacid-freepaperproducedofchlorine-freepulp.TCFÑPrintedinGermanyISBN978-3-7643-8146-2e-ISBN978-3-7643-8147-9987654321www.birkhauser.ch8146_Drabek_Titelei.

7、indd411.04.200711:22:08DedicatedtothememoryofSvatoplukFuˇc´ıkContentsPreface......................................ix1Preliminaries1.1ElementsofLinearAlgebra......................11.2NormedLinearSpaces.........................242PropertiesofLinearan

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