| dc.contributor.advisor | 李明融 | zh_TW |
| dc.contributor.author (Authors) | 林修竹 | zh_TW |
| dc.creator (作者) | 林修竹 | zh_TW |
| dc.date (日期) | 2003 | en_US |
| dc.date.accessioned | 17-Sep-2009 13:44:31 (UTC+8) | - |
| dc.date.available | 17-Sep-2009 13:44:31 (UTC+8) | - |
| dc.date.issued (上傳時間) | 17-Sep-2009 13:44:31 (UTC+8) | - |
| dc.identifier (Other Identifiers) | G0088751012 | en_US |
| dc.identifier.uri (URI) | https://nccur.lib.nccu.edu.tw/handle/140.119/32555 | - |
| 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) | 88751012 | zh_TW |
| dc.description (描述) | 92 | zh_TW |
| dc.description.abstract (摘要) | 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)。 | zh_TW |
| dc.description.abstract (摘要) | 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. | en_US |
| dc.description.tableofcontents | Abstract ………………………………………………………………………1中文摘要 ………………………………………………………………………21 Introduction ………………………………………………………………12 Existence and Uniqueness of Solution ………………………………3 2.1 Existence of solution………………………………………………3 2.2 Uniqueness of solution ……………………………………………63 Blow-up Phenomena…………………………………………………………8 3.1 Blow-up Phenomena of u……………………………………………12 3.2 Blow-up Phenomena of u` …………………………………………18 3.3 Blow-up Phenomena of u``…………………………………………204 Estimations for the Life-Spans………………………………………235 Conclusion…………………………………………………………………29 5.1 Tables of Results …………………………………………………29 5.2 Properties of Bloe-up Rates and Blow-up Constants of u…30Appendices……………………………………………………………………31References……………………………………………………………………33 | zh_TW |
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| dc.format.mimetype | application/pdf | - |
| dc.language.iso | en_US | - |
| dc.source.uri (資料來源) | http://thesis.lib.nccu.edu.tw/record/#G0088751012 | en_US |
| dc.subject (關鍵詞) | blow up | en_US |
| dc.subject (關鍵詞) | life-span | en_US |
| dc.title (題名) | 有非線性干擾的二階微分方程 | zh_TW |
| dc.type (資料類型) | thesis | en |
| dc.relation.reference (參考文獻) | Meng-Rong Li, On the Differential Equation u``-u^p=0, Preprint, National Chengchi University, 1999. | zh_TW |
| dc.relation.reference (參考文獻) | I-Chen Chen, Some Studies in Differential Equation}, Preprint, National Chengchi University, 1999. | zh_TW |
| dc.relation.reference (參考文獻) | C.Corduneanu, Principle of Differential and Integral Equations, Allyn and Bacon,Inc., Boston, 1971. | zh_TW |
| dc.relation.reference (參考文獻) | D.W. Jordan and P.Smith, Nonlinear Ordinary Differential Equations, Clarendon Press, Oxford, 1977. | zh_TW |
