兩類四階m-點邊值問題的正解.pdf

1、蘭州理工大學碩士學位論文兩類四階m點邊值問題的正解姓名：裴海瑞申請學位級別：碩士專業(yè)：應(yīng)用數(shù)學指導教師：孫建平20090427AbstractMotiVatedbythewide印plicationtogeomet吼Ⅱlechanics，astronoIIly’ecmnomicsandotherfields，boundaryv出ueproblemsforordinarydi艉rentialequatb璐havereceiVedmucha

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6、valueproblemhausat1eastonepositivesolutionforA(入isp08itiveparameter)smallenoughandhasnopositivesolutionforAlargeenoughSupposethat，i88ublinear，theboundaryvalueproblemhasat1eastonepositiveSolutionforany入∈(o，oo)Andthen，wedi

7、scussaclassoffourth_orderm—pointboundawvalueproblem麗thparameter盯0Thebounda眄v|alueproblemhasatleaustonepositivesolutionfor盯∈(0，o。)whenthenonlinearterm，isthesuperline盯orsublinearThebounda叮Valueproblemhausatleastonepositive

8、solutionforacertainrangeof盯when，8atis匆80meweal【erconditio瑚Some嘲stenceresult8fortheboundaUv址ueproblemofat1east怕∞positives01utio瑚arediscussedforsuit—able仃when，satis黟theappropriateconditiollsOurmaintoolistheWell—knownGumKra