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    Title: 一階衝擊動態方程的週期邊界值問題
    PBVPs of first-order impulsive dynamic equations on time scales
    Authors: 梁益昌
    Liang, Yi Chang
    Contributors: 符聖珍
    梁益昌
    Liang, Yi Chang
    Keywords: 時間序列
    週期邊界值問題
    衝擊動態方程
    Green函數
    Schaefer定理
    Banach固定點定理
    Time scale
    Periodic boundary value problem
    Impulsive dynamic equation
    Green`s function
    Schaefer`s theorem
    Banach`s fixed point theorem
    Date: 2008
    Issue Date: 2009-09-19 12:08:52 (UTC+8)
    Abstract: 在這篇論文中,我們討論的是一階非線性衝擊動態方程的週期邊界值問題。利用Schaefer定理及Banach固定點定理,我們得到一些解的存在性結果。
    In this thesis, we are concernd with nonlinear first-order periodic boundary
    value problems of impulsive dynamic equations on time scales. By
    using Schaefer’s theorem and Banach’s fixed point theorem we acquire
    some new existence results.
    Reference: [1] D.D. Bainov, P.S. Simeonov, Systems with Impulse Effect: Stability Theory and
    Applications. Horwood, Chichester, (1989)
    [2] D.D. Bainov, P.S. Simeonov, Impulsive Differential Equations: Periodic
    Solutions and Applications. Longman Scientific and Technical, Harlow, (1993)
    [3] V. Lakshmikantham, D.D. Bainov, P.S. Simeonov, Theory of Impulsive
    Differential Equations. World Scientific, Singapore, (1989)
    [4] J.J. Nieto, Basic theory for nonresonance impulsive periodic problems of first
    order, J. Math. Anal. Appl. 205 (1997) 423-433.
    [5] J.J. Nieto, Impulsive resonance periodic problems of first order, Appl. Math.
    Lett. 15 (2002) 489-493.
    [6] J.J. Nieto, Periodic boundary value problems for first order impulsive ordinary
    differential equations, Nonlinear Appl. 51 (2002) 1223-1232.
    [7] D. Franco, J.J. Nieto, Maximum principles for periodic impulsive first order
    problems, J. Comput. Appl. Math. 88 (1998) 144-159.
    Description: 碩士
    國立政治大學
    應用數學研究所
    96751003
    97
    Source URI: http://thesis.lib.nccu.edu.tw/record/#G0096751003
    Data Type: thesis
    Appears in Collections:[Department of Mathematical Sciences] Theses

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