奇異二階微分系統(tǒng)Neumann邊值問(wèn)題的多重正解.pdf

1、學(xué)校代碼：!!!業(yè)分類號(hào)：旦啦研究牛學(xué)號(hào)：南級(jí)：④Y8889871213303163爾肛埽冠媳碩士學(xué)位論文奇異二階微分系統(tǒng)Neumann邊值問(wèn)題的多重正解MuItiplicityofPositiVeSoIutionstoSecondorderSingularNeumannBoundaryValueProblemsofDi盯erentialSystems作者：張麗穎指導(dǎo)教師學(xué)科專業(yè)研究方向?qū)W位類型蔣達(dá)清教授應(yīng)用數(shù)學(xué)常微分方程高校教師東北師

2、范大學(xué)學(xué)位評(píng)定委員會(huì)2006年4月AbstractThispaperconsiderssecond()rdersingularofdi狂bIerltialsystemfz’7(t)p。z(￡)1∥，m)p2Ⅳ(t)satisnesNeumannboundaryvalueproblem。廠1(￡z(￡)，Ⅳ(t))^(￡，z(￡)，g(t))z’(o)=Ⅳ，(O)=z，(1)=∥，(1)=o，竹2wherep1，P2arecon8tant

3、sin(一∞，o)u(o，等)Thetypeofperturbations^(t，z，可)，zl，2，wearemainlyinterestedinisthat，(≠，z，可)hasasingularitynear(z，可)=(o，o)，althoughthemainre8ult8ofthispaperapplya180tomoregeneraltypeofpertur—bationgThispaperisdevotedtoestabl

4、ishthemultipllcityofpositivesolutionsto8econd—ordersingularNeumannboundaryvalueproblemsofdi趕色rentialsystemsIti8provedthatsuchaproblemha8a土leasttwopositivesolutionsunderourreasonableconditionsTheexistenceofthefirsts01utio

5、nisobtainedbyusinganonlinearalternativeofLeray—Schauder，a以dthesecondoneisfbundbyu8ingaKrasnoselskii矗xedDointtheoreminconesKeyWbrds：Singular；NeumannboundaryvalueprobIem；PositivesolutionLeray—SchauderalternatiVe；Fixedpoint