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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 19-九月-2009 12:08:52 (UTC+8)
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
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.
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
dc.contributor.advisor 符聖珍zh_TW
dc.contributor.author (作者) 梁益昌zh_TW
dc.contributor.author (作者) Liang, Yi Changen_US
dc.creator (作者) 梁益昌zh_TW
dc.creator (作者) Liang, Yi Changen_US
dc.date (日期) 2008en_US
dc.date.accessioned 19-九月-2009 12:08:52 (UTC+8)-
dc.date.available 19-九月-2009 12:08:52 (UTC+8)-
dc.date.issued (上傳時間) 19-九月-2009 12:08:52 (UTC+8)-
dc.identifier (其他 識別碼) G0096751003en_US
dc.identifier.uri (URI) https://nccur.lib.nccu.edu.tw/handle/140.119/37100-
dc.description (描述) 碩士zh_TW
dc.description (描述) 國立政治大學zh_TW
dc.description (描述) 應用數學研究所zh_TW
dc.description (描述) 96751003zh_TW
dc.description (描述) 97zh_TW
dc.description.abstract (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。zh_TW
dc.description.abstract (摘要) 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.		en_US
dc.description.tableofcontents Contents
謝 辭 i
Abstract ii
中文摘要 iii
1 Introduction 1
2 Preliminary 3
3 Linear Problem 5
4 Nonlinear Problem 7
5 Examples 20
References 23		zh_TW
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dc.language.iso en_US-
dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#G0096751003en_US
dc.subject (關鍵詞) 時間序列zh_TW
dc.subject (關鍵詞) 週期邊界值問題zh_TW
dc.subject (關鍵詞) 衝擊動態方程zh_TW
dc.subject (關鍵詞) Green函數zh_TW
dc.subject (關鍵詞) Schaefer定理zh_TW
dc.subject (關鍵詞) Banach固定點定理zh_TW
dc.subject (關鍵詞) Time scaleen_US
dc.subject (關鍵詞) Periodic boundary value problemen_US
dc.subject (關鍵詞) Impulsive dynamic equationen_US
dc.subject (關鍵詞) Green`s functionen_US
dc.subject (關鍵詞) Schaefer`s theoremen_US
dc.subject (關鍵詞) Banach`s fixed point theoremen_US
dc.title (題名) 一階衝擊動態方程的週期邊界值問題zh_TW
dc.title (題名) PBVPs of first-order impulsive dynamic equations on time scalesen_US
dc.type (資料類型) thesisen
dc.relation.reference (參考文獻) [1] D.D. Bainov, P.S. Simeonov, Systems with Impulse Effect: Stability Theory andzh_TW
dc.relation.reference (參考文獻) Applications. Horwood, Chichester, (1989)zh_TW
dc.relation.reference (參考文獻) [2] D.D. Bainov, P.S. Simeonov, Impulsive Differential Equations: Periodiczh_TW
dc.relation.reference (參考文獻) Solutions and Applications. Longman Scientific and Technical, Harlow, (1993)zh_TW
dc.relation.reference (參考文獻) [3] V. Lakshmikantham, D.D. Bainov, P.S. Simeonov, Theory of Impulsivezh_TW
dc.relation.reference (參考文獻) Differential Equations. World Scientific, Singapore, (1989)zh_TW
dc.relation.reference (參考文獻) [4] J.J. Nieto, Basic theory for nonresonance impulsive periodic problems of firstzh_TW
dc.relation.reference (參考文獻) order, J. Math. Anal. Appl. 205 (1997) 423-433.zh_TW
dc.relation.reference (參考文獻) [5] J.J. Nieto, Impulsive resonance periodic problems of first order, Appl. Math.zh_TW
dc.relation.reference (參考文獻) Lett. 15 (2002) 489-493.zh_TW
dc.relation.reference (參考文獻) [6] J.J. Nieto, Periodic boundary value problems for first order impulsive ordinaryzh_TW
dc.relation.reference (參考文獻) differential equations, Nonlinear Appl. 51 (2002) 1223-1232.zh_TW
dc.relation.reference (參考文獻) [7] D. Franco, J.J. Nieto, Maximum principles for periodic impulsive first orderzh_TW
dc.relation.reference (參考文獻) problems, J. Comput. Appl. Math. 88 (1998) 144-159.zh_TW