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有非線性干擾的二階微分方程

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.

Identiferoai:union.ndltd.org:CHENGCHI/G0088751012
Creators林修竹
Publisher國立政治大學
Source SetsNational Chengchi University Libraries
Language英文
Detected LanguageEnglish
Typetext
RightsCopyright © nccu library on behalf of the copyright holders

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