學術產出-學位論文
文章檢視/開啟
書目匯出
-
題名 非線性微分方程之研究
Some Studies in the Nonlinear Differential Equations作者 陳怡真
Chen, Yi-Chen貢獻者 蔡隆義
Tsai, Long-Yi
陳怡真
Chen, Yi-Chen關鍵詞 微分方程
爆破
爆破速率
能量方法
生成時間
differential equation
blow-up
blow-up rate
blow-up constant
energy method
life-span time日期 1998 上傳時間 27-四月-2016 16:43:15 (UTC+8) 摘要 在這篇論文中，我們討論具有初始值條件的二階微分方程 □□□□□
In this paper we shall consider the initial value problem for second order differential equation of the form □□□□□
List of Figures\r\nList of Tables\r\nIntroduction\r\nChapter1 On the Scalar Differential Equation\r\n1.1 Fundamental Lemmas\r\n1.2 The Asymptotic Behavior of the Global Solutions\r\n1.3 Estimates for the Life Span of the Blow-up Solutions\r\n1.3.1\r\n1.3.2\r\n1.4 Blow-up Rate and Blow-up Constant\r\n1.5 Properties of the Life Span Time\r\n1.5.1 The Property of\r\n1.5.2 The Property of 9\r\n1.5.3 The Behavior of the Blow-up Constant\r\nChapter 2 On The System of Differential Equations\r\n2.1 Fundamental Lemmas\r\n2.2 Estimates for the Life Span Time\r\n2.3 Particular System\r\n2.3.1 Fundamental Lemmas\r\n2.3.2 Estimates for the Life Span Time\r\n(I)\r\n(II)\r\nChapter 3 Conclusions\r\n3.1 The Scalar Differential Equation\r\n3.1.1 Table\r\n3.1.2 Examples\r\n3.2 The System of Differential Equation\r\n3.2.1 Table\r\n3.3 Particular System\r\n3.3.1 Table\r\n3.3.2 Examples\r\nBibliography\r\nAppendix參考文獻 [1] D. O`Regan, Some general existence principles and results for □□□□□(0<t<1), SIAM Journal on Mathematical Analysis, 24, 648-668,(1993).\r\n[2] J. R. Esteban and J. L. Vazquez, On the Equation of Turbulent in One-dimensional Porous Media, Nonlinear Analysis, 10, 1303-1325, (1986).\r\n[3] Jiun-Hon Lin, The Regularity of Solutions for Non-linear Differential Equation □□□□□, Master thesis, National Chengchi University, ( 1999).\r\n[4] Junyu Wang and Wenjie Gao, A Singular Boundary Value Problem for the One-dimensional p -Laplacian, Journal of Mathematical Analysis and Applications, 201, 851-866,(1996).\r\n[5] L. E. Bobisub and D. O`Regan, Existence of Positive Solutions for Singular Ordinary Differential Equations with Nonlinear Boundary Conditions, Proceedings of the American Mathematical Society, 124, 2081-2087, (1996).\r\n[6] M. A. Herrero and J. L. Vazquez, On the Propagation Properties of a Nonlinear Degenerate Parabolic Equation, Communications in Partial Differential Equations, 7, 1381-1402, (1982).\r\n[7] Meng-Rong Li, On the Differential Equation □□□□□, Preprint, National Chengchi University, (1999).\r\n[8] Zuodong Yang, Existence of Positive Solutions for a Class of Singular two Point Boundary Value Problems of Second Order Nonlinear Equation, Applied Mathematics and Mechanics, 17, 465-476, (1996). 描述 碩士
國立政治大學
應用數學系
86751010資料來源 http://thesis.lib.nccu.edu.tw/record/#B2002001690 資料類型 thesis dc.contributor.advisor 蔡隆義 zh_TW dc.contributor.advisor Tsai, Long-Yi en_US dc.contributor.author (作者) 陳怡真 zh_TW dc.contributor.author (作者) Chen, Yi-Chen en_US dc.creator (作者) 陳怡真 zh_TW dc.creator (作者) Chen, Yi-Chen en_US dc.date (日期) 1998 en_US dc.date.accessioned 27-四月-2016 16:43:15 (UTC+8) - dc.date.available 27-四月-2016 16:43:15 (UTC+8) - dc.date.issued (上傳時間) 27-四月-2016 16:43:15 (UTC+8) - dc.identifier (其他 識別碼) B2002001690 en_US dc.identifier.uri (URI) https://ah.lib.nccu.edu.tw/item?item_id=98225 - dc.description (描述) 碩士 zh_TW dc.description (描述) 國立政治大學 zh_TW dc.description (描述) 應用數學系 zh_TW dc.description (描述) 86751010 zh_TW dc.description.abstract (摘要) 在這篇論文中，我們討論具有初始值條件的二階微分方程 □□□□□ zh_TW dc.description.abstract (摘要) In this paper we shall consider the initial value problem for second order differential equation of the form □□□□□ en_US dc.description.abstract (摘要) List of Figures\r\nList of Tables\r\nIntroduction\r\nChapter1 On the Scalar Differential Equation\r\n1.1 Fundamental Lemmas\r\n1.2 The Asymptotic Behavior of the Global Solutions\r\n1.3 Estimates for the Life Span of the Blow-up Solutions\r\n1.3.1\r\n1.3.2\r\n1.4 Blow-up Rate and Blow-up Constant\r\n1.5 Properties of the Life Span Time\r\n1.5.1 The Property of\r\n1.5.2 The Property of 9\r\n1.5.3 The Behavior of the Blow-up Constant\r\nChapter 2 On The System of Differential Equations\r\n2.1 Fundamental Lemmas\r\n2.2 Estimates for the Life Span Time\r\n2.3 Particular System\r\n2.3.1 Fundamental Lemmas\r\n2.3.2 Estimates for the Life Span Time\r\n(I)\r\n(II)\r\nChapter 3 Conclusions\r\n3.1 The Scalar Differential Equation\r\n3.1.1 Table\r\n3.1.2 Examples\r\n3.2 The System of Differential Equation\r\n3.2.1 Table\r\n3.3 Particular System\r\n3.3.1 Table\r\n3.3.2 Examples\r\nBibliography\r\nAppendix - dc.description.tableofcontents List of Figures\r\nList of Tables\r\nIntroduction\r\nChapter1 On the Scalar Differential Equation\r\n1.1 Fundamental Lemmas\r\n 1.2 The Asymptotic Behavior of the Global Solutions\r\n 1.3 Estimates for the Life Span of the Blow-up Solutions\r\n 1.3.1\r\n 1.3.2\r\n 1.4 Blow-up Rate and Blow-up Constant\r\n 1.5 Properties of the Life Span Time\r\n 1.5.1 The Property of\r\n 1.5.2 The Property of 9\r\n 1.5.3 The Behavior of the Blow-up Constant\r\nChapter 2 On The System of Differential Equations\r\n 2.1 Fundamental Lemmas\r\n 2.2 Estimates for the Life Span Time\r\n 2.3 Particular System\r\n 2.3.1 Fundamental Lemmas\r\n 2.3.2 Estimates for the Life Span Time\r\n (I)\r\n (II)\r\nChapter 3 Conclusions\r\n 3.1 The Scalar Differential Equation\r\n 3.1.1 Table\r\n 3.1.2 Examples\r\n 3.2 The System of Differential Equation\r\n 3.2.1 Table\r\n 3.3 Particular System\r\n 3.3.1 Table\r\n 3.3.2 Examples\r\nBibliography\r\nAppendix zh_TW dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#B2002001690 en_US dc.subject (關鍵詞) 微分方程 zh_TW dc.subject (關鍵詞) 爆破 zh_TW dc.subject (關鍵詞) 爆破速率 zh_TW dc.subject (關鍵詞) 能量方法 zh_TW dc.subject (關鍵詞) 生成時間 zh_TW dc.subject (關鍵詞) differential equation en_US dc.subject (關鍵詞) blow-up en_US dc.subject (關鍵詞) blow-up rate en_US dc.subject (關鍵詞) blow-up constant en_US dc.subject (關鍵詞) energy method en_US dc.subject (關鍵詞) life-span time en_US dc.title (題名) 非線性微分方程之研究 zh_TW dc.title (題名) Some Studies in the Nonlinear Differential Equations en_US dc.type (資料類型) thesis en_US dc.relation.reference (參考文獻) [1] D. O`Regan, Some general existence principles and results for □□□□□(0<t<1), SIAM Journal on Mathematical Analysis, 24, 648-668,(1993).\r\n[2] J. R. Esteban and J. L. Vazquez, On the Equation of Turbulent in One-dimensional Porous Media, Nonlinear Analysis, 10, 1303-1325, (1986).\r\n[3] Jiun-Hon Lin, The Regularity of Solutions for Non-linear Differential Equation □□□□□, Master thesis, National Chengchi University, ( 1999).\r\n[4] Junyu Wang and Wenjie Gao, A Singular Boundary Value Problem for the One-dimensional p -Laplacian, Journal of Mathematical Analysis and Applications, 201, 851-866,(1996).\r\n[5] L. E. Bobisub and D. O`Regan, Existence of Positive Solutions for Singular Ordinary Differential Equations with Nonlinear Boundary Conditions, Proceedings of the American Mathematical Society, 124, 2081-2087, (1996).\r\n[6] M. A. Herrero and J. L. Vazquez, On the Propagation Properties of a Nonlinear Degenerate Parabolic Equation, Communications in Partial Differential Equations, 7, 1381-1402, (1982).\r\n[7] Meng-Rong Li, On the Differential Equation □□□□□, Preprint, National Chengchi University, (1999).\r\n[8] Zuodong Yang, Existence of Positive Solutions for a Class of Singular two Point Boundary Value Problems of Second Order Nonlinear Equation, Applied Mathematics and Mechanics, 17, 465-476, (1996). zh_TW
