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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.
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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。
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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.
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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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