政大機構典藏-National Chengchi University Institutional Repository(NCCUR):Item 140.119/56531
English  |  正體中文  |  简体中文  |  Post-Print筆數 : 27 |  全文筆數/總筆數 : 111321/142230 (78%)
造訪人次 : 48401198      線上人數 : 813
RC Version 6.0 © Powered By DSPACE, MIT. Enhanced by NTU Library IR team.
搜尋範圍 查詢小技巧：
  • 您可在西文檢索詞彙前後加上"雙引號"，以獲取較精準的檢索結果
  • 若欲以作者姓名搜尋，建議至進階搜尋限定作者欄位，可獲得較完整資料
    •  進階搜尋
    政大機構典藏 > 理學院 > 應用數學系 > 學位論文 >  Item 140.119/56531


    請使用永久網址來引用或連結此文件: https://nccur.lib.nccu.edu.tw/handle/140.119/56531


    題名: 二維非線性動態系統之非振盪解的分類法
    A Classification Scheme for Nonoscillatory Solutions of Two-Dimensional Nonlinear Dynamical Systems
    作者: 黃雅雯
    Huang, Ya Wen
    貢獻者: 符聖珍
    黃雅雯
    Huang, Ya Wen
    關鍵詞: 非振盪性解的分類
    Nonoscillatory Solutions
    Nonlinear Dynamical System
    日期: 2012
    上傳時間: 2013-01-02 13:26:20 (UTC+8)
    摘要: 在此篇論文中，我們提供二維非線性動態系統之非振盪解的一個分類法，此分類法是依據解的漸近值作分類，同時我們也得到具有此漸近值之非振盪解的存在性的充分必要條件。
    In this thesis, we provide a classification scheme for nonoscillatory solutions of a class of two-dimensional dynamical systems in terms of their asymptotic values.
    In addition, we find the sufficient and necessary conditions for the existence of these solutions.
    參考文獻: M. Bohner and A. Peterson, Dynamic Equations on Time Scales, An Introduction with Applications, Birkhauser, Boston (2001)

    Douglas R. Anderson, Oscillation and nonoscillation criteria for two-dimensional time-scale systems of first-Order nonlinear dynamic equations, Electronic Journal of Differential Equations, 24 (2009), 1-13

    Douglas R. Anderson and William R. Hall, Oscillation criteria for two-dimensional systems of first-order linear dynamic equations on time scales, Involve a Journal of Mathematics 2 (2009), No.1, 1-16.

    B. Knaster, Un Théoréme sur les fonctions d`nensembles, Annales de la Société Polonaise de Mathématique 6 (1928), 133-134.

    Walter G. Kelley and Allan C. Peterson, Difference Equations, An Introduction with Applications, Academic Press, Inc. (1991).

    Youjun Xu, and Zhiting Xu, Oscillation criteria for two-dimensional dynamic systems on time scales, Journal of Computational and Applied Mathematics, 225 (2009), 9-19.
    描述: 碩士
    國立政治大學
    應用數學研究所
    98751009
    101
    資料來源: http://thesis.lib.nccu.edu.tw/record/#G0987510091
    資料類型: thesis
    顯示於類別:[應用數學系] 學位論文

    文件中的檔案:

    檔案 大小格式瀏覽次數
    009101.pdf649KbAdobe PDF2577檢視/開啟


    在政大典藏中所有的資料項目都受到原著作權保護.


    社群 sharing

    著作權政策宣告 Copyright Announcement
    1.本網站之數位內容為國立政治大學所收錄之機構典藏，無償提供學術研究與公眾教育等公益性使用，惟仍請適度，合理使用本網站之內容，以尊重著作權人之權益。商業上之利用，則請先取得著作權人之授權。
    The digital content of this website is part of National Chengchi University Institutional Repository. It provides free access to academic research and public education for non-commercial use. Please utilize it in a proper and reasonable manner and respect the rights of copyright owners. For commercial use, please obtain authorization from the copyright owner in advance.

    2.本網站之製作，已盡力防止侵害著作權人之權益，如仍發現本網站之數位內容有侵害著作權人權益情事者，請權利人通知本網站維護人員(nccur@nccu.edu.tw)，維護人員將立即採取移除該數位著作等補救措施。
    NCCU Institutional Repository is made to protect the interests of copyright owners. If you believe that any material on the website infringes copyright, please contact our staff(nccur@nccu.edu.tw). We will remove the work from the repository and investigate your claim.
    DSpace Software Copyright © 2002-2004  MIT &  Hewlett-Packard  /   Enhanced by   NTU Library IR team Copyright ©   - 回饋