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    Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/56531


    Title: 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
    Authors: 黃雅雯
    Huang, Ya Wen
    Contributors: 符聖珍
    黃雅雯
    Huang, Ya Wen
    Keywords: 非振盪性解的分類
    Nonoscillatory Solutions
    Nonlinear Dynamical System
    Date: 2012
    Issue Date: 2013-01-02 13:26:20 (UTC+8)
    Abstract: 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.
    Reference: 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.
    Description: 碩士
    國立政治大學
    應用數學研究所
    98751009
    101
    Source URI: http://thesis.lib.nccu.edu.tw/record/#G0987510091
    Data Type: thesis
    Appears in Collections:[Department of Mathematical Sciences] Theses

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