| n阶非线性微分方程的非线性三点边值问题 |
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| 引用本文： | 裴明鹤,张性珏. n阶非线性微分方程的非线性三点边值问题[J]. 数学学报, 2005, 48(4): 763-772. DOI: cnki:ISSN:0583-1431.0.2005-04-015 |
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| 作者姓名： | 裴明鹤 张性珏 |
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| 作者单位： | 北华大学理学院数学系，岭南大学校理科大学数学科 吉林 132013，庆山市712-749 韩国 |
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| 基金项目： | 教育部留学回国人员科研启动基金资助项目 |
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| 摘 要： | 本文利用广义对接方法,建立了n阶非线性微分方程y(n)=f(x,y,y',…, y(n-1))满足非线性三点边界条件的非线性三点边值问题解的存在性与唯一性定理,所得结果将已有的很多相应结果作为特例.
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| 关 键 词： | n阶非线性微分方程 非线性三点边值问题 存在性 唯一性 |
Nonlinear Three-Point Boundary Value Problems for nth-Order Nonlinear Differential Equations |
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| Ming He PEI. Nonlinear Three-Point Boundary Value Problems for nth-Order Nonlinear Differential Equations[J]. Acta Mathematica Sinica, 2005, 48(4): 763-772. DOI: cnki:ISSN:0583-1431.0.2005-04-015 |
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| Authors: | Ming He PEI |
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| Affiliation: | Ming He PEI Department of Mathematics, Science College of Beihua University, Jilin 132013, P. R. China Sung Kag CHANG Department of Mathematics, Science College of Yeungnam University, Kyongsan 712-749, Korea |
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| Abstract: | In this paper, by using the generalized matching techniques, we establish the existence and uniqueness theorems of solutions to the nth-order nonlinear differential equation y(n)=f(x,y,y',...,y(n-1)) with the nonlinear three-point boundary conditions and our theorems includes a good many original results as the particular cases. |
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| Keywords: | nth-order nonlinear differential equations Nonlinear three-point boundary value problem Existence Uniqueness |
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