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    Title: 積分微分方程式複突出解之穩定性與分歧分析
    Other Titles: Stability and Bifurcation of Multi-Bump Solutions of an Integral Differential Equation
    Authors: 張慧京
    Contributors: 淡江大學數學學系
    Keywords: 複突出解;核函數;分歧;中心流形;穩定纖維
    Date: 2006
    Issue Date: 2009-03-16 13:07:44 (UTC+8)
    Abstract: 考慮下列微分方程式 ∫∞?+?+?=??hdytyufyxwtxuttxu)),(()(),(),( ∞ 當核函數為震盪函數時,我們可以理論證出雙突出解的存在性. 在此解的附近存在一個以二維度的中心流形與穩定纖維所構成的架構. 我們將分析當特定參數改變時, 此雙突出解穩定性改變的分歧狀況.類似的分析也會應用在其他的突出解上.
    Appears in Collections:[數學學系暨研究所] 研究報告

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