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Please use this identifier to cite or link to this item:
https://nccur.lib.nccu.edu.tw/handle/140.119/32555
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| Title: | 有非線性干擾的二階微分方程 |
| Authors: | 林修竹 |
| Contributors: | 李明融
林修竹 |
| Keywords: | blow up
life-span |
| Date: | 2003 |
| Issue Date: | 2009-09-17 13:44:31 (UTC+8) |
| Abstract: | 在這一篇論文中我們討論的是下列這個非線性初值問題：
u``(t)=u`(t)^q(c_1+c_2u(t)^p)
u(0) = u_0; u`(0) = u_1:
我們關注於上述問題正解的一些性質。我們發現了一些爆破(Blow-up)現象，並獲得一些結果，有關爆破率(Blow-up rate)、爆破常數(Blow-up constant)以及爆破時間(Blow-up time)。
In this paper we study the following initial value problem for the nonlinear equation,
u``(t)=u`(t)^q(c_1+c_2u(t)^p)
u(0) = u_0; u`(0) = u_1:
We are interested in properties of positive solutions of the above problem.We have found blow-up phenomena and obtained some results on blowup rates, blow-up constants and life-spans. |
| Reference: | Meng-Rong Li, On the Differential Equation u``-u^p=0, Preprint, National Chengchi University, 1999.
I-Chen Chen, Some Studies in Differential Equation}, Preprint, National Chengchi University, 1999.
C.Corduneanu, Principle of Differential and Integral Equations, Allyn and Bacon,Inc., Boston, 1971.
D.W. Jordan and P.Smith, Nonlinear Ordinary Differential Equations, Clarendon Press, Oxford, 1977. |
| Description: | 碩士
國立政治大學
應用數學研究所
88751012
92 |
| Source URI: | http://thesis.lib.nccu.edu.tw/record/#G0088751012 |
| Data Type: | thesis |
| Appears in Collections: | [應用數學系] 學位論文
|
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