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https://ah.lib.nccu.edu.tw/handle/140.119/37100| 題名: | 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 |
作者: | 梁益昌 Liang, Yi Chang |
貢獻者: | 符聖珍 梁益昌 Liang, Yi Chang |
關鍵詞: | 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 |
日期: | 2008 | 上傳時間: | 19-Sep-2009 | 摘要: | 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\nvalue problems of impulsive dynamic equations on time scales. By\nusing Schaefer’s theorem and Banach’s fixed point theorem we acquire\nsome new existence results. |
參考文獻: | [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. |
描述: | 碩士 國立政治大學 應用數學研究所 96751003 97 |
資料來源: | http://thesis.lib.nccu.edu.tw/record/#G0096751003 | 資料類型: | thesis |
| Appears in Collections: | 學位論文 |
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| 100301.pdf | 131.7 kB | Adobe PDF2 | View/Open | |
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| 100309.pdf | 152.8 kB | Adobe PDF2 | View/Open | |
| 100310.pdf | 98.85 kB | Adobe PDF2 | View/Open | |
| 100311.pdf | 74.46 kB | Adobe PDF2 | View/Open |
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