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.
| Identifer | oai:union.ndltd.org:CHENGCHI/G0088751012 |
| Creators | 林修竹 |
| Publisher | 國立政治大學 |
| Source Sets | National Chengchi University Libraries |
| Language | 英文 |
| Detected Language | English |
| Type | text |
| Rights | Copyright © nccu library on behalf of the copyright holders |
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