| 两类n阶非线性方程的两点边值问题 |
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| 引用本文： | 刘颖,桑玉杰. 两类n阶非线性方程的两点边值问题[J]. 沈阳航空工业学院学报, 2004, 21(1): 73-74 |
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| 作者姓名： | 刘颖 桑玉杰 |
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| 作者单位： | 沈阳航空工业学院航基础科学部,辽宁,沈阳,110034 |
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| 摘 要： | 已有人利用上下解方法讨论过非线性n阶常微分方程两点边值问题解的存在性，而边值问题是否存在上下解是很难判别的，在文中，用初等方法讨论了两类n阶非线性方程满足两点边界条件的边值问题解的存在性、唯一性，并对解的存在性唯一性区间进行了估计。
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| 关 键 词： | 非线性n阶常微分方程 边值问题 存在性 唯一性 解 |
| 文章编号： | 1007-1385(2004)01-0073-02 |
| 修稿时间： | 2003-04-07 |
Two point boundary value problems of Nth - order nonlinear differential equations |
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| LIU Ying SANG Yu-jie. Two point boundary value problems of Nth - order nonlinear differential equations[J]. Journal of Shenyang Institute of Aeronautical Engineering, 2004, 21(1): 73-74 |
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| Authors: | LIU Ying SANG Yu-jie |
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| Abstract: | Somebody has applied the method of Upper and Lower solution to tackle the solution problem which is existence and uniqueness for nth-order nonlinear differential equations satisfying two point boundary conditions.This paper discusses existence and uniqueness solutions for nth-order nonlinear differential equations satisfying two point boundary conditions by basic method,furthermore estimates interval length of existence and uniqueness solutions. |
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| Keywords: | boundary value problem existence and uniqueness interval of existence |
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