時(shí)間標(biāo)度上動(dòng)態(tài)方程邊值問(wèn)題研究.pdf

1、廣東工業(yè)大學(xué)碩士學(xué)位論文時(shí)間標(biāo)度上動(dòng)態(tài)方程邊值問(wèn)題研究姓名：劉會(huì)靈申請(qǐng)學(xué)位級(jí)別：碩士專(zhuān)業(yè)：應(yīng)用數(shù)學(xué)指導(dǎo)教師：彭世國(guó)20070501』查三些奎蘭矍耋堡圭蘭堡簍蘭ABSTRACTThedifferenceandthedifferentialaretwoimportantbranchesatthedomainofmathematicsAt1988，StefanHilgerintroducedthetimescaleinordertounify

2、thestudyofdifferentialanddifferenceequationsThispaperextendssomenonlinearanalysistheorytothetimescaleandusesittostudytheexistingofthedynamicequation’SsolutionThepaperincludesfourchapters，studiestwokindsofdifferentialequa

3、tions，gainssomeconclusionandintroducessomenewtheorytodayThefirstchapteristheintroductionofthispaperItintroducesthebackgroundofthispaperandmainconclusionItintroducesthedevelopmentoftimescalesinparticularandthevalueoftheti

4、mescalesintheoryandapplicationThesecondchapterintroducesthecalculusintimescalesinparticulaLForanewtheorytheliteratureoftimescalesinChineseisveryfewIgiveaparticulardescriptionofthebasalpartofthetheoreticsoftimescalesIthin

5、kitwillgiveahandforthepeoplewhostudytimescalesonthefirsttimeThelasttwochaptersarethemainlandsofthepaperTheydiscusstheexistingofpositiveSOlutionfortwokindofsecondorderPBVPontimescalesandtheDirichletproblemofasecondordereq

6、uationTheystudynotonlysinglesolutionbutalsomulti—solutionandgainssimpleconclusionBecauseofthetimescales，theconclusionofthispapercanbeextendedtodifferentialanddifferenceKeyword：Timescale；Periodicboundaryvalueproblems；Posi