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政大機構典藏 > 理學院 > 應用數學系 > 學位論文 > Item 140.119/74927

Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/74927

Title:	某些連續函數f(u)下半線性微分方程式t^σu``=f(u)正解之研究 Positive Solution of Semilinear Differential Equation t^σu``=f(u) For Some Continuous Function f(u)
Authors:	鄭富元 Cheng, Fu Yuan
Contributors:	李明融鄭富元 Fu Yuan Cheng
Keywords:	正解的爆炸時間正解的最大存在時間 Emden-Fowler 方程式 blow up time for positive solution the life-span for positive solution Emden-Fowler equation
Date:	2014
Abstract:	在這篇論文，我們討論以下半線性微分方程式 t^σu``=f(u) 在某些連續函數f(u)上的正解。這是Emden-Fowler 方程式的一個推廣的情形，我們討論他的解的一些表現式以及爆炸解，這篇論文我們把f(u)分成三個部分，分別為有界、次線性、超線性，並得到四個結果。 In this thesis, we discuss the following semilinear differential equation t^σu``=f(u) for some continuous function f(u). This is a generalized case of Emden-fowler equation, we study the solution representation and life-span. In this paper we have four results under three different conditions on f , namely bounded, sublinear, and superlinear cases. we will derive their representation and show the numerical results. 口試委員會審定書 i 致謝 ii 中文摘要 iii abstract v contents vii list of figures ix Introduction 1 fundamental lemma 5 solution representation 8 main result 10 conclusion 22
Description:	碩士國立政治大學應用數學研究所 100751012 103
Source URI:	http://thesis.lib.nccu.edu.tw/record/#G1007510121
Data Type:	thesis
Appears in Collections:	[應用數學系] 學位論文

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