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Title: 非線性微分方程之研究
Some Studies in the Nonlinear Differential Equations
Authors: 陳怡真
Chen, Yi-Chen
Contributors: 蔡隆義
Tsai, Long-Yi
Chen, Yi-Chen
Keywords: 微分方程
differential equation
blow-up rate
blow-up constant
energy method
life-span time
Date: 1998
Issue Date: 2016-04-27 16:43:15 (UTC+8)
Abstract: 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
List of Tables
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
1.4 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
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
Reference: [1] D. O'Regan, Some general existence principles and results for □□□□□(0<t<1), SIAM Journal on Mathematical Analysis, 24, 648-668,(1993).
[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).
Description: 碩士
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Data Type: thesis
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