| 伴有边界摄动二阶非线性系统的奇摄动 |
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| 引用本文： | 陈育森.伴有边界摄动二阶非线性系统的奇摄动[J].应用数学和力学,2000,21(2):201-208. |
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| 作者姓名： | 陈育森 |
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| 作者单位： | 福建师大福清分校数学系,福建福清350300 |
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| 摘 要： | 讨论了伴有边界摄动的含积分算子的二阶非线性微分方程组边界问题的奇摄 适当的假设条件下，通过对角化技巧，证明了解的存在，并估计的余项。
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| 关 键 词： | 奇摄动 边界摄动 非线性微分方程 边值问题 |
| 修稿时间： | 1998-09-01 |
Singular Perturbation of Second Order Nonlinear System With Boundary Perturbation |
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| Chen Yusen.Singular Perturbation of Second Order Nonlinear System With Boundary Perturbation[J].Applied Mathematics and Mechanics,2000,21(2):201-208. |
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| Authors: | Chen Yusen |
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| Abstract: | The singular perturbation of
boundary value problem of second order nonlinear system of differential equations with
integral operators and boundary perturbation is discussed. Under the suitable assumed
conditions, by the technique of diagonalization, the existence of the solutions is proved
and its remainder term is estimated. |
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| Keywords: | singular perturbation boundary perturbation diagonalization |
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