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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
1

有外力干擾的二階非線性微分方程 / Nonlinear second order differential equation with force u''(t)=uP(t)(c1+c2u'(t)q)

黃金龍, HUANG JIN-LON Unknown Date (has links)
在這一篇論文中,我們討論的是常微分方程u" =u<sup>P</sup>(C<sub>1</sub>+C2(u')<sup>q</sup>")我們發現一些現象,爆破率、爆破常數、爆破時間。而且我們還發現爆破時問與係數之間的關係,我們將在之後討論。 / In this paper we work with the ordinary differential equation u" = u<sup>P</sup>(C<sub>1</sub>+C2(u')<sup>q</sup>"). We have found some phenomena, blow-up, blow-up rate, blow-up constant, blow-up time are obtained in this work. Further, we have also found the relationship between blow-up time and blow-up coefficients, we shall detail illustrate it later.
2

一些非自控Emden-Fowler微分方程之研究 / Studies on some nonautonomous emden-fowler differential equations

李宣緯 Unknown Date (has links)
因有數學符號,無法顯示於此。
3

關於非線性微分方程的正則性 / The Regularity of Solutions for Non-linear Differential Equation u'' - u^p = 0

林俊宏, Lin, Jiunn-Hon Unknown Date (has links)
本研究中討論了非線性微分方程式之解的正則性。在這之中發現了一些有趣的現象,得到了方程式解可以做任意次的微分,並且得到對該解任意次微分後其值趨近到無限大時之爆破速率、爆破常數及當其值遞減至零時的爆破速率、爆破常數。 / In this paper we work with the regularity of solutions for the non-linear ordinary differential equation u''-u^p=0 for some well-defined functions u^p. We have found some interesting phenomena, u belongs to C^q for any q in positive integer, blow-up constant, blow-up rate, null point and decay rate of u^(n) are obtained in this work, through that we get the characterization for these equations in this case.
4

非線性微分方程之研究 / Some Studies in the Nonlinear Differential Equations

陳怡真, Chen, Yi-Chen Unknown Date (has links)
在這篇論文中,我們討論具有初始值條件的二階微分方程 □□□□□ 和系統微分方程 □□□□□等問題。 我們利用能量方法(即能量是常數的特性)來探討上述方程解之特性。例如:生成時間、爆破和爆破速率以及局部解的漸進行為。 / In this paper we shall consider the initial value problem for second order differential equation of the form □□□□□ and the system □□□□□ . We shall discuss the blow-up properties, such as the life-span, the blow-up rate and blow-up constants, and the asymptotic behavior of the global solution by using the energy method.

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