| 具有无穷大边界值的半线性奇摄动Robin问题 |
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| 引用本文： | 胡永生.具有无穷大边界值的半线性奇摄动Robin问题[J].福建教育学院学报,2010,11(5):99-102. |
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| 作者姓名： | 胡永生 |
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| 作者单位： | 福建农业职业技术学院公共教学部,福建,福州,350119 |
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| 摘 要： | 文章研究一类具有无穷大边值的二阶半线性微分方程的奇摄动Robin问题的双边界层与内层现象。基于边界层校正，构造了该问题的边界层、内层校正函数；基于微分不等式理论，证明了该边值问题解的存在性，同时得到解的一致有效的高阶渐近估计。
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| 关 键 词： | 无穷大Robin问题 半线性 奇摄动 角层 |
Robin Problem With Infinite Boundary Values for Singularly Perturbed Semi-linear Differential Equations |
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| HU Yong-sheng.Robin Problem With Infinite Boundary Values for Singularly Perturbed Semi-linear Differential Equations[J].Journal of Fujian Education Institute,2010,11(5):99-102. |
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| Authors: | HU Yong-sheng |
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| Institution: | HU Yong-sheng(Department of Public Education,Fujian Vocational College of Agriculture,Fuzhou 350119,China) |
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| Abstract: | The phenomenons of double-boundary layers and interior layer of Robin problem with infinite boundary values for semi-linear singularly perturbed differential equations are studied in this paper.Combining the method of error estimation,the boundary layer function and the interior layer function are obtained;the existence and the uniform validity with high order for the solution are proved by the differential inequality. |
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| Keywords: | infinite Robin problem semi-linear singularly perturbed corner layer |
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