| 一类二阶奇异拟线性方程的解和正解 |
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| 引用本文： | 姚庆六. 一类二阶奇异拟线性方程的解和正解[J]. 医学教育探索, 2007, 0(2): 290-293 |
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| 作者姓名： | 姚庆六 |
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| 作者单位： | 南京财经大学应用数学系; |
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| 基金项目： | 国家自然科学基金(10571085)资助 |
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| 摘 要： | 考察了一类含有一阶导数的二阶拟线性方程的解和正解,其中允许非线性项是奇异的。通过构造适当的Banach空间并利用相应的积分方程建立了两个局部存在定理。这些定理表明解和正解的存在性取决于非线性项的主要部分在某个集合上的“高度”。
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| 关 键 词： | 常微分方程 奇异性 解和正解 存在性 |
| 收稿时间： | 2006-03-23 |
Solutions and Positive Solution of a Class of Second-Order Singular Quasilinear Equations |
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| YAO Qing-liu. Solutions and Positive Solution of a Class of Second-Order Singular Quasilinear Equations[J]. Researches in Medical Education, 2007, 0(2): 290-293 |
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| Authors: | YAO Qing-liu |
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| Affiliation: | Department of Applied Mathematics;Nanjing University of Finance and Economics;Nanjing 210003;China |
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| Abstract: | The solution and positive solution are considered for a class of second-order quasilinear equations with first derivative,where the nonlinear term is allowed to be singular.By constructing suitable Banach space and applying corresponding integral equation,two local existence theorems are established. The theorems show that the existence of solution and positive solution depends upon the "height" of principal part of nonlinear term on a bounded set. |
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| Keywords: | ordinary differential equation singularity solution and positive solution existence |
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