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    Please use this identifier to cite or link to this item: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/5792


    Title: 某高階奇異邊界值問題之存在性
    Other Titles: Existence Theorem for a Higher Order Sigular Boundary Value Problem
    Authors: 錢傳仁
    Contributors: 淡江大學數學學系
    Keywords: 奇異邊界問題;位相橫截;Singular boundary value problems;Topological transversality
    Date: 1995
    Issue Date: 2009-03-16 13:14:51 (UTC+8)
    Abstract: 本計畫將針對如下高階邊界值問題,探討其 解的存在性:X/sup (n)/+f(t, x, x/sup 1/,..., x/sup (n-1) /)=0,x(0)=x'(0)=...=x/sup(n-2)/(10)=0,x/sup (n-1)/(1)=0其 中f:(0, 1)*(0,+.inf.)/sup n-2/*R.arrr.(0,.inf.).我們將 利用非線性分析的方法討論它.首先將問題轉化為2個參數的同倫系(Homotopy system),而後取得 各倫解的預先估計值(Prioriestimates).引用這些估 計值在所謂相橫截定理(Topological transversality), 得一逼近解.再利用Ascoli-Arzelo定理,得原問題的 解.
    Appears in Collections:[數學學系暨研究所] 研究報告

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