| 一类奇摄动半线性边值问题 |
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| 引用本文： | 刘树德. 一类奇摄动半线性边值问题[J]. 数学研究, 2000, 33(2): 135-139 |
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| 作者姓名： | 刘树德 |
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| 作者单位： | 安徽师范大学芜湖 241000 |
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| 摘 要： | 研究了一类奇摄动半线性边值问题解的边界层性质。在适当的条件下，通过构造边界层函数，得到了问题解的形式近似式，并利用微分方程的最大值原理证明了该形式近似式的一致有效性。
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| 关 键 词： | 奇摄动 边界层 最大值原理 半线性边值问题 |
| 修稿时间： | 1999-10-12 |
A Class of Semilinear Singularly Perturbed Boundary Value Problems |
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| Liu Shude. A Class of Semilinear Singularly Perturbed Boundary Value Problems[J]. Journal of Mathematical Study, 2000, 33(2): 135-139 |
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| Authors: | Liu Shude |
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| Abstract: | The boundary layer behavior of a class of semilinear singular perturbation problem is studied. Under suitable conditions, a formal approximation of the boundary value problem is obtained by using the construction of boundary layer function, and the uniform validity of this formal approximation is justified by the maximum principle of differential equations. |
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| Keywords: | boundary value problem singular perturbation boundary layer maximum principle |
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