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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
Liang, Yi Chang
Keywords: 時間序列
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
Source URI:
Data Type: thesis
Appears in Collections:[應用數學系] 學位論文

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