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1、91]0373索Ⅸ號(hào)01758/14534南京坪勉犬掌碩士學(xué)位論文亙Boundaryvalueproblemsforsecondorderdifferentialequationsandthehighorderequation作者—————璺壁塹———一指導(dǎo)牧師—————』鯉盥重量——一學(xué)科專業(yè)—————』鰱塑壁————一AbstractInthispaper,westudytheexistenceof8i|19leormultiple
2、positivesolutions《t婚pointboundarywheproblemsund苜theassumptionofr酋onanceornonrimonaaceand啪a180studytheexistedaceofn‘mtrivialperiodic∞htiomforhighor&requationInthe丘r8tchapterwestudythepk叫aci觸equation一函(t)妒∥))’=Ⅺ啷,功,踟bj。吐to
3、thr∞刪ntconditions啦刪;the硒腳∞。蛐i,s氟edpohatthe∞鋤,Wh嘲,夕(t)i8蛆m班eB呂ingfunctionWederivetheexplicitin七ervalefor^suchthatthee血tenceofpositivesolutionsareguaranteedInthesecondchepterweconsidertheequation一(e(OxY;^F(t。而inthe砷∞∞∞e嘲wh
4、e聆孽∞isadifferemhlfunctionWeprovetheexistenceofsolutionsonthisproblembythecoincidencedegreetheory‘Indmpterthree,westud≯theexistenceofnontxivialperiodicsolutionsforthehi幽咖婦equationinx;日葉1(0。qN冊(cè)0(0,L)’f(一1)luc槲2)疊(一l嚴(yán)強(qiáng)u㈤一oo
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