| 一类非线性三阶微分方程的奇摄动边值问题 |
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| 引用本文： | 陈丽华.一类非线性三阶微分方程的奇摄动边值问题[J].福建师范大学学报(自然科学版),2008,24(6). |
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| 作者姓名： | 陈丽华 |
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| 作者单位： | 福建师范大学福清分校数学与计算机科学系,福建,福清,350300 |
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| 基金项目： | 福建省教育厅基金(B类)资助项目 |
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| 摘 要： | 利用边界层函数法研究了一类非线性三阶微分方程的奇摄动边值问题.证明了该问题解的存在唯一性,并给出了解及其导函数的一致有效渐近展开.
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| 关 键 词： | 奇摄动 边界层函数法 不变流形 |
The Singularly Perturbed Boundary Value Problem for a Kind of Third Order Nonlinear Differential Equations |
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| CHEN Li-hua.The Singularly Perturbed Boundary Value Problem for a Kind of Third Order Nonlinear Differential Equations[J].Journal of Fujian Teachers University(Natural Science),2008,24(6). |
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| Authors: | CHEN Li-hua |
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| Abstract: | Use the method of boundary layer functions to study the singularly perturbed boundary value problem for a kind of third order nonlinear differential equations.The existence and uniqueness of the solutions are proved.And the uniformly valid asymptotic expansion of the solution and whose derivative are given out. |
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| Keywords: | singular perturbation method of boundary layer function invariant manifold |
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