半直線上一類一維問題唯一解的漸近行為.pdf

1、煙臺(tái)大學(xué)碩士學(xué)位論文半直線上一類一維問題唯一解的漸近行為姓名：尹秀桂申請(qǐng)學(xué)位級(jí)別：碩士專業(yè)：應(yīng)用數(shù)學(xué)指導(dǎo)教師：張志軍20090501AbstractInthisarticleweuseperturbationmethodnonlineartransfmKaramataregularlyvaryingprincipleconstructsubsupersolutiongettheasymptoticbehavioftheuniquesol

2、utionatzeroinfinitywhenbgsatisfyappropriatestructuralconditions.Theonedimensionalsingularboundaryvalueproblemonthehalflineu??(t)=b(t)g(u(t))u(t)0t0u(0)=∞u(∞)=0.Wheregb∈C1(0∞)theyarepositivenondecreasingfunctionson(0∞).Th

3、etwogivenstructuralconditionsimplythatgregularlyvaryingwithindexq(q1)rapidlyvaryingatinfinity(rapidlytowardinfinity)gregularlyvaryingwithindexp(p1)rapidlyvaryingatzero(rapidlytowardinfinity).Thisarticleinvestigateitsasym