| 四阶非线性微分方程两点边值问题解的存在性与唯一性 |
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| 引用本文： | 禹海兰,裴明鹤. 四阶非线性微分方程两点边值问题解的存在性与唯一性[J]. 数学研究及应用, 2001, 21(1): 44-46 |
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| 作者姓名： | 禹海兰 裴明鹤 |
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| 作者单位： | 1. 东北电力学院基础部,
2. 北华大学师范学院数学系, |
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| 摘 要： | 本文利用Leray-Schauder理论，给出了一类四阶非线性微分方程的两点边值问题存在解与存在唯一解的具体的充分条件.
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| 关 键 词： | 非线性微分方程 两点边值问题 解 存在性 唯一性 |
| 文章编号： | 1000-341X(2001)01-0044-03 |
| 收稿时间： | 1998-05-12 |
| 修稿时间： | 1998-05-12 |
Existence and Uniqueness of Solutions of Two-Point Boundary Value Problem for Fourth-OrderNonlinear Differential Equation |
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| YU Hai-lan and PEI Ming-he. Existence and Uniqueness of Solutions of Two-Point Boundary Value Problem for Fourth-OrderNonlinear Differential Equation[J]. Journal of Mathematical Research with Applications, 2001, 21(1): 44-46 |
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| Authors: | YU Hai-lan and PEI Ming-he |
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| Affiliation: | Dept. of Basic Course, Northeast China Inst. of Elec. Power Eng., Jinlin 132012, China;Dept. of Math., Normal College of Beihua University, Jilin 132013, China |
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| Abstract: | By using the Leray-Schauder degree theory we give the concrete sufficient conditions of the existence and uniqueness of solutionsof a class two point boundary value problems for fourth-order nonlinear differential equation. |
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| Keywords: | boundary value problem existence uniqueness |
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