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1、RaviP.AgarwalDonalOReganOrdinaryandPartialDifferentialEquationsWithSpecialFunctions,FourierSeries,andBoundaryValueProblems123RaviP.AgarwalDonalOReganFloridaInstituteofTechnologyNationalUniversityofIreland,GalwayDepartmentofMathematicalSciencesMathematicsDepartment150WestU
2、niversityBlvd.UniversityRoadMelbourne,FL32901Galway,Irelandagarwal@fit.edudonal.oregan@nuigalway.ieISBN:978-0-387-79145-6e-ISBN:978-0-387-79146-3DOI10.1007/978-0-387-79146-3LibraryofCongressControlNumber:2008938952MathematicsSubjectClassification(2000):00-01,34-XX,35-XXcSp
3、ringerScience+BusinessMedia,LLC2009Allrightsreserved.Thisworkmaynotbetranslatedorcopiedinwholeorinpartwithoutthewrittenpermissionofthepublisher(SpringerScience+BusinessMedia,LLC,233SpringStreet,NewYork,NY10013,USA),exceptforbriefexcerptsinconnectionwithreviewsorscholarlya
4、nalysis.Useinconnectionwithanyformofinformationstorageandretrieval,electronicadaptation,computersoftware,orbysimilarordissimilarmethodologynowknownorhereafterdevelopedisforbidden.Theuseinthispublicationoftradenames,trademarks,servicemarks,andsimilarterms,eveniftheyarenoti
5、dentifiedassuch,isnottobetakenasanexpressionofopinionastowhetherornottheyaresubjecttoproprietaryrights.Printedonacid-freepaperspringer.comDedicatedtoourSonsHansAgarwalandDanielJosephO’ReganPrefaceThisbookcomprises50class-testedlectureswhichboththeauthorshavegiventoengineer
6、ingandmathematicsmajorstudentsunderthetitlesBoundaryValueProblemsandMethodsofMathematicalPhysicsatvariousinstitutionsallovertheglobeoveraperiodofalmost35years.Themaintopicscoveredintheselecturesarepowerseriessolutions,specialfunc-tions,boundaryvalueproblemsforordinarydiffe
7、rentialequations,Sturm–Liouvilleproblems,regularandsingularperturbationtechniques,Fourierseriesexpansion,partialdifferentialequations,Fourierseriessolutionstoinitial-boundaryvalueproblems,andFourierandLaplacetransformtech-niques.Theprerequisiteforthisbookiscalculus,soitcan
8、beusedforaseniorundergraduatecourse.Itshouldalsobesuitableforabeginninggraduatecoursebecause,inu
