二類(lèi)脈沖泛函微分方程的振動(dòng)性與漸近性.pdf

1、湖南師范大學(xué)碩士學(xué)位論文二類(lèi)脈沖泛函微分方程的振動(dòng)性與漸近性姓名：葉國(guó)炳申請(qǐng)學(xué)位級(jí)別：碩士專(zhuān)業(yè)：基礎(chǔ)數(shù)學(xué)指導(dǎo)教師：申建華20071101高校教師在職碩士學(xué)位論文ABSTRACTThisthesisofMasteriscomposedoftwochapters，whichstudiestheoscillatoryandasymptoticpropertyoftwoClassesofimpulsesdifferentialequations

2、Inchapter1，westudytheoscillatoryandasymptoticpropertyofaclassofimpulsesdifferentialequationswithforcingtermIx(一’(f)p(f)xo)=甙f)可tD=oot坤七)，jo’o；)=口tx‘?！痮i)I川o)=工o，x∽(f；)=z5：f’(fto，t≠tk，k∈忉O=I，2，，一一1)O=l，2，，R1)Firstlywedisc

3、ussrespectivelyn=2andn=3，andobtainsomecriterionsfordiscriminationoftheoscillatoryandasymptoticpropertyoftheequations，andgivetheexamplestodemonstratetheeffectivenessofthecriterionsThenwegeneralizethemtoageneralcircumstanc

4、eInchapter2，westudytheoscillatoryandasymptoticpropertyofaclassofimpulsesdelaydifferentialequationswithforcingtermIJ佃’(0p(Ox(tf)=g(f)(f，o，tSt七，七∈Ⅳ)J(f亡)=口。七x(tI)，J“’(f；)a趾J‘‘’(tDo=l，2，，力一DfJ=伊(，)，t∈Ito—r，to】Firstlywediscu