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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 scalePeriodic boundary value problemImpulsive dynamic equationGreen's functionSchaefer's theoremBanach'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 boundaryvalue problems of impulsive dynamic equations on time scales. Byusing Schaefer’s theorem and Banach’s fixed point theorem we acquiresome new existence results. Reference: [1] D.D. Bainov, P.S. Simeonov, Systems with Impulse Effect: Stability Theory andApplications. Horwood, Chichester, (1989)[2] D.D. Bainov, P.S. Simeonov, Impulsive Differential Equations: PeriodicSolutions and Applications. Longman Scientific and Technical, Harlow, (1993)[3] V. Lakshmikantham, D.D. Bainov, P.S. Simeonov, Theory of ImpulsiveDifferential Equations. World Scientific, Singapore, (1989)[4] J.J. Nieto, Basic theory for nonresonance impulsive periodic problems of firstorder, 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 ordinarydifferential equations, Nonlinear Appl. 51 (2002) 1223-1232.[7] D. Franco, J.J. Nieto, Maximum principles for periodic impulsive first orderproblems, J. Comput. Appl. Math. 88 (1998) 144-159. Description: 碩士國立政治大學應用數學研究所9675100397 Source URI: http://thesis.lib.nccu.edu.tw/record/#G0096751003 Data Type: thesis Appears in Collections: [應用數學系] 學位論文

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