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https://ah.lib.nccu.edu.tw/handle/140.119/74927
題名: | 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) |
作者: | 鄭富元 Cheng, Fu Yuan |
貢獻者: | 李明融 鄭富元 Fu Yuan Cheng |
關鍵詞: | 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 |
日期: | 2014 | 摘要: | 在這篇論文,我們討論以下半線性微分方程式\r\nt^σu``=f(u) 在某些連續函數f(u)上的正解。\r\n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 \r\nt^σu``=f(u) for some continuous function f(u).\r\nThis 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.\r\nwe will derive their representation and show the numerical results. 口試委員會審定書 i\r\n致謝 ii \r\n中文摘要 iii\r\nabstract v\r\ncontents vii\r\nlist of figures ix\r\nIntroduction 1\r\nfundamental lemma 5\r\nsolution representation 8\r\nmain result 10\r\nconclusion 22 |
描述: | 碩士 國立政治大學 應用數學研究所 100751012 103 |
資料來源: | http://thesis.lib.nccu.edu.tw/record/#G1007510121 | 資料類型: | thesis |
Appears in Collections: | 學位論文 |
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