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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

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:	[Department of Mathematical Sciences] Theses

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