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1、StabilityandPeriodicSolutionsofOrdinaryandFunctionalDifferentialEquationsThisisVolume178inMATHEMATICSINSCIENCEANDENGINEERINGASeriesofMonographsandTextbooksEditedbyWilliamF.Ames,GeorgiaInstituteofTechnologyThecompletelistingofbooksinthisseriesisavailab
2、lefromthePublisheruponrequest.StabilityandPeriodicSolutionsofOrdinaryandFunctionalDifferentialEquationsT.A.BURTONDepartmentofMathematicsSouthernIllinoisUniversityCarbondale,Illinois1985ACADEMICPRESS,INC.HarcourtBraceJovanovich,PublishersOrlandoSanDieg
3、oNewYorkAustinLondonMontrealSydneyTokyoTorontoCOPYRIGHT©1985BYAcADEMICPRESS,INC.ALLRIGHTSRESERVED.NOPARTOFTHISPUBLICATIONMAYBEREPRODUCEDORTRANSMITTEDINANYFORMORBYANYMEANS,ELECTRONICORMECHANICAL,INCLUDINGPHOTOCOPY,RECORDING,ORANYINFORMATIONSTORAGEANDRE
4、TRIEVALSYSTEM,WITHOUTPERMISSIONINWRITINGFROMTHEPUBLISHER.ACADEMICPRESS,INC.Orlando,Florida32887UnitedKingdomEditionpublishedhyACADEMICPRESSINC.(WNDON)LTD.24-28OvalRoad,LondonNWI7DXLIBRARYOFCONGRESSCATALOGINGINPUBLICATIONDATABurton,T.A.(TheodoreAllen),
5、DateStabilityandperiodicsolutionsofordinaryandfunctionaldifferentialequations.(Mathematicsinscienceandengineering)Includesindex.1.Differentialequations-Numericalsolutions.2.Functionaldifferentialequations-Numericalsolutions.1.Title.II.Series.QA372.B88
6、51985515.3'585·7403ISBN0·12·147360·0(alk.paper)ISBN0·12·147361·9(paperback)PRINTEDINTHEUNITEDSTATESOFAMERICA85868788987654321ToProfessorTaroYoshizawaThispageintentionallyleftblankContentsPrefaceixO.AnOverview0.1SurveyofChapter120.2SurveyofChapter260.3
7、SurveyofChapter360.4SurveyofChapter471.LinearDifferentialandIntegrodifferentialEquations1.0TheGeneralSetting151.1LinearOrdinaryDifferentialEquations221.2PeriodicSolutionsofLinearDifferentialEquations651.3LinearVolterraEquations691.4PeriodicSolutionsof
8、ConvolutionEquations871.5PeriodicSolutionsofNonconvolutionEquations1001.6StabilityandBoundedness1172.History,Motivation,Examples2.1ClassicalSecond-OrderEquations1392.2ProblemswithaDelay1492.3Biology,Economics,andEpidemics1602.4SourcesofModels1
