資源描述：
《second-order-ordinary-differential-equations》由會(huì)員上傳分享，免費(fèi)在線閱讀，更多相關(guān)內(nèi)容在學(xué)術(shù)論文-天天文庫(kù)。
1、R.S.JohnsonSecond-orderordinarydifferentialequationsSpecialfunctions,Sturm-Liouvilletheoryandtransforms2DownloadfreeeBooksatbookboon.comSecond-orderordinarydifferentialequations:Specialfunctions,Sturm-Liouvilletheoryandtransforms?2012R.S.Johnson&bookboon.comISBN978-87-7681-972-93Downloadfree
2、eBooksatbookboon.comSecond-orderordinarydifferentialequationsContentsContentsPrefacetothesethreetexts9PartITheseriessolutionofsecondorder,ordinarydifferentialequationsandspecialfunctions10ListofEquations11Preface121Power-seriessolutionofODEs131.1Seriessolution:essentialideas131.2ODEswithregu
3、larsingularpoints16Exercises1202ThemethodofFrobenius212.1Thebasicmethod212.2Thetwospecialcases24Exercises238FreeeBookonLearning&DevelopmentBytheChiefLearningOfficerofMcKinseyDownloadNow4ClickontheadtoreadmoreDownloadfreeeBooksatbookboon.comSecond-orderordinarydifferentialequationsContents3Th
4、eBesselequationandBesselfunctions393.1Firstsolution393.2Thesecondsolution423.3ThemodifiedBesselequation464TheLegendrepolynomials49Exercises4515TheHermitepolynomials52Exercises5546Generatingfunctions556.1Legendrepolynomials566.2Hermitepolynomials576.3Besselfunctions59Exercises6360°61Answersth
5、inking.62PartIIAnintroductiontoSturm-Liouvilletheory65Preface66360°thinking.360°thinking.Discoverthetruthatwww.deloitte.ca/careersDiscoverthetruthatwww.deloitte.ca/careers?Deloitte&ToucheLLPandaffiliatedentities.Discoverthetruthatwww.deloitte.ca/careers?Deloitte&ToucheLLPandaffiliatedentitie
6、s.?Deloitte&ToucheLLPandaffiliatedentities.Discoverthetruthatwww.deloitte.ca/careers5ClickontheadtoreadmoreDownloadfreeeBooksatbookboon.com?Deloitte&ToucheLLPandaffiliatedentities.Second-orderordinarydifferentialequationsContentsListofEquations671IntroductionandBackground681.1Thesecond-order
7、equations681.2Theboundary-valueproblem711.3Self-adjointequations72Exercises1732TheSturm-Liouvilleproblem:theeigenvalues742.1Realeigenvalues742.2Simpleeigenvalues782.3Orderedeigenvalues79Exercises2803TheSturm-Liouvilleproblem:theeigenfunctions813.1T
