| dc.contributor.advisor | 李明融 | zh_TW |
| dc.contributor.author (作者) | 鄭富元 | zh_TW |
| dc.contributor.author (作者) | Fu Yuan Cheng | en_US |
| dc.creator (作者) | 鄭富元 | zh_TW |
| dc.creator (作者) | Cheng, Fu Yuan | en_US |
| dc.date (日期) | 2014 | en_US |
| dc.identifier (其他 識別碼) | G1007510121 | en_US |
| dc.description (描述) | 碩士 | zh_TW |
| dc.description (描述) | 國立政治大學 | zh_TW |
| dc.description (描述) | 應用數學研究所 | zh_TW |
| dc.description (描述) | 100751012 | zh_TW |
| dc.description (描述) | 103 | zh_TW |
| dc.description.abstract (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。 | zh_TW |
| dc.description.abstract (摘要) | 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. | en_US |
| dc.description.abstract (摘要) | 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 | - |
| dc.description.tableofcontents | 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 | zh_TW |
| dc.source.uri (資料來源) | http://thesis.lib.nccu.edu.tw/record/#G1007510121 | en_US |
| dc.subject (關鍵詞) | 正解的爆炸時間 | zh_TW |
| dc.subject (關鍵詞) | 正解的最大存在時間 | zh_TW |
| dc.subject (關鍵詞) | Emden-Fowler 方程式 | zh_TW |
| dc.subject (關鍵詞) | blow up time for positive solution | en_US |
| dc.subject (關鍵詞) | the life-span for positive solution | en_US |
| dc.subject (關鍵詞) | Emden-Fowler equation | en_US |
| dc.title (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 | zh_TW |
| dc.title (題名) | Positive Solution of Semilinear Differential Equation t^σu``=f(u) For Some Continuous Function f(u) | en_US |
| dc.type (資料類型) | thesis | en |
