政大機構典藏-National Chengchi University Institutional Repository(NCCUR):Item 140.119/51309
English  |  正體中文  |  简体中文  |  Post-Print筆數 : 27 |  全文筆數/總筆數 : 114105/145137 (79%)
造訪人次 : 52185058      線上人數 : 752
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 140.119/51309


    請使用永久網址來引用或連結此文件: https://nccur.lib.nccu.edu.tw/handle/140.119/51309


    題名: 時間刻度下偏動態算子的極大值定理
    The maximum principles for the partial dynamic operators on time scales
    作者: 陳家盛
    Chen, Chia Sheng
    貢獻者: 符聖珍
    陳家盛
    Chen, Chia Sheng
    關鍵詞: 時間刻度
    動態算子
    極大值定理
    日期: 2010
    上傳時間: 2011-10-05 14:39:37 (UTC+8)
    摘要: 在這篇論文裡，我們要討論的是在多維度的時間刻度下橢圓型動態算子和拋物型動態算子的極大值定理，並藉此得到一些應用。事實上，我們是將微分方程及差分方程裡的極大值定理推廣至所謂的動態方程中。
    In this thesis, we establish the maximum principles for the elliptic dynamic operators and parabolic dynamic operators on multi-dimensional time scales, and apply it to obtain some applications. Indeed, we extend the maximum principles on differential equations and difference equations to the so-called dynamic equations.
    參考文獻: [1]M. Protter, H. Weinberger,Maximum Principles in
    Differential Equations,Prentice-Hall, New Jersey, (1967).
    [2]H. Kuo, N. Trudinger,On the discrete maximum principle
    for parabolic difference operators,Math. Model. Numer.
    Anal. 27 (1993) 719-737.
    [3]G. David, N.S. Trudinger,Elliptic partial differential
    equations of second order,Berlin, New York: Springer-
    Verlag, (1977).
    [4]P. Stehlik, B. Thompson,Maximum principles for second
    order dynamic equations on time scales,J. Math. Anal.
    Appl. 331 (2007) 913-926.
    [5]P. Stehlik,Maximum principles for elliptic dynamic
    equations,Mathematical and Computer Modelling 51 (2010)
    1193-1201.
    [6]R.P. Agarwal and M. Bohner,Basic calculus on time scales
    and some of its applications,Results Math. 35 (1999) 3-
    22.
    [7]M. Bohner and A. Peterson,Dynamic Equation on Time
    Scales, An Introduction with Application,Birkhauser,
    Boston (2001).
    [8]M. Bohner and A. Peterson,Advances in Dynamic Equation
    on Time Scales,Birkhauser, Boston (2003).
    [9]B. Jackson,Partial dynamic equations on time scales,J.
    Comput. Appl. Math. 186 (2006) 391-415.
    描述: 碩士
    國立政治大學
    應用數學研究所
    97751014
    99
    資料來源: http://thesis.lib.nccu.edu.tw/record/#G0097751014
    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
    101401.pdf830KbAdobe PDF2977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