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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-Apr-2016 11:15:06 (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 □□□□□
參考文獻 [1] D. O`Regan, Some general existence principles and results for □□□□□(0     [2] J. R. Esteban and J. L. Vazquez, On the Equation of Turbulent in One-dimensional Porous Media, Nonlinear Analysis, 10, 1303-1325, (1986).
     [3] Jiun-Hon Lin, The Regularity of Solutions for Non-linear Differential Equation □□□□□, Master thesis, National Chengchi University, ( 1999).
     [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).
     [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).
     [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).
     [7] Meng-Rong Li, On the Differential Equation □□□□□, Preprint, National Chengchi University, (1999).
     [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-Yien_US
dc.contributor.author (Authors) 陳怡真zh_TW
dc.contributor.author (Authors) Chen, Yi-Chenen_US
dc.creator (作者) 陳怡真zh_TW
dc.creator (作者) Chen, Yi-Chenen_US
dc.date (日期) 1998en_US
dc.date.accessioned 27-Apr-2016 11:15:06 (UTC+8)-
dc.date.available 27-Apr-2016 11:15:06 (UTC+8)-
dc.date.issued (上傳時間) 27-Apr-2016 11:15:06 (UTC+8)-
dc.identifier (Other Identifiers) B2002001690en_US
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/86268-
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) 86751010zh_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.tableofcontents List of Figures
     List of Tables
     Introduction
     Chapter1 On the Scalar Differential Equation
     1.1 Fundamental Lemmas
      1.2 The Asymptotic Behavior of the Global Solutions
      1.3 Estimates for the Life Span of the Blow-up Solutions
      1.3.1
      1.3.2
      1.4 Blow-up Rate and Blow-up Constant
      1.5 Properties of the Life Span Time
      1.5.1 The Property of
      1.5.2 The Property of 9
      1.5.3 The Behavior of the Blow-up Constant
     Chapter 2 On The System of Differential Equations
      2.1 Fundamental Lemmas
      2.2 Estimates for the Life Span Time
      2.3 Particular System
      2.3.1 Fundamental Lemmas
      2.3.2 Estimates for the Life Span Time
      (I)
      (II)
     Chapter 3 Conclusions
      3.1 The Scalar Differential Equation
      3.1.1 Table
      3.1.2 Examples
      3.2 The System of Differential Equation
      3.2.1 Table
      3.3 Particular System
      3.3.1 Table
      3.3.2 Examples
     Bibliography
     Appendix		zh_TW
dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#B2002001690en_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 equationen_US
dc.subject (關鍵詞) blow-upen_US
dc.subject (關鍵詞) blow-up rateen_US
dc.subject (關鍵詞) blow-up constanten_US
dc.subject (關鍵詞) energy methoden_US
dc.subject (關鍵詞) life-span timeen_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 Equationsen_US
dc.type (資料類型) thesisen_US
dc.relation.reference (參考文獻) [1] D. O`Regan, Some general existence principles and results for □□□□□(0     [2] J. R. Esteban and J. L. Vazquez, On the Equation of Turbulent in One-dimensional Porous Media, Nonlinear Analysis, 10, 1303-1325, (1986).
     [3] Jiun-Hon Lin, The Regularity of Solutions for Non-linear Differential Equation □□□□□, Master thesis, National Chengchi University, ( 1999).
     [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).
     [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).
     [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).
     [7] Meng-Rong Li, On the Differential Equation □□□□□, Preprint, National Chengchi University, (1999).
     [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