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1、BOUNDARYVALUEPROBLEMSFIFTHEDITIONThispageintentionallyleftblankBOUNDARYVALUEPROBLEMSANDPARTIALDIFFERENTIALEQUATIONSDAVIDL.POWERSClarksonUniversityFIFTHEDITIONAmsterdamBostonHeidelbergLondonNewYorkOxfordParisSanDiegoSanFranciscoSingaporeSydneyTokyoAcquisitionsEditorTomSingerProj
2、ectManagerJeffFreelandMarketingManagerLindaBeattieCoverDesignEricDeCiccoInteriorPrinterTheMapleVailBookManufacturingGroupElsevierAcademicPress30CorporateDrive,Suite400,Burlington,MA01803,USA525BStreet,Suite1900,SanDiego,California92101-4495,USA84TheobaldsRoad,LondonWC1X8RR,UKTh
3、isbookisprintedonacid-freepaper.∞Copyright?2006,ElsevierInc.Allrightsreserved.Nopartofthispublicationmaybereproducedortransmittedinanyformorbyanymeans,electronicormechanical,includingphotocopy,recording,oranyinformationstorageandretrievalsystem,withoutpermissioninwritingfromth
4、epublisher.PermissionsmaybesoughtdirectlyfromElseviersScience&TechnologyRightsDepartmentinOxford,UK:phone:(+44)1865843830,fax:(+44)1865853333,e-mail:permissions@elsevier.co.uk.Youmayalsocompleteyourrequeston-lineviatheElsevierhomepage(http://elsevier.com),byselectingCustomerSup
5、portandthenObtainingPermissions.LibraryofCongressCataloging-in-PublicationDataApplicationsubmittedBritishLibraryCataloguinginPublicationDataAcataloguerecordforthisbookisavailablefromtheBritishLibraryISBN13:978-0-12-563738-1ISBN10:0-12-563738-1ForallinformationonallElsevierAcade
6、micPresspublicationsvisitourWebsiteatwww.books.elsevier.comPrintedintheUnitedStatesofAmerica050607080910987654321ContentsPrefaceixCHAPTER0OrdinaryDifferentialEquations10.1HomogeneousLinearEquations10.2NonhomogeneousLinearEquations140.3BoundaryValueProblems260.4SingularBoundaryV
7、alueProblems380.5Green’sFunctions43ChapterReview51MiscellaneousExercises51CHAPTER1FourierSeriesandIntegrals591.1PeriodicFunctionsandFourierSeries591.2ArbitraryPeriodandHalf-RangeExpansions641.3ConvergenceofFourierSeries731.4UniformConvergence791.5OperationsonFourierSeries851.6M
8、eanErrorandConvergenceinMean901.7ProofofConvergence951
