| 一类二次非线性奇摄动Robin问题的渐进解 |
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| 引用本文： | 卢西庄. 一类二次非线性奇摄动Robin问题的渐进解[J]. 阜阳师范学院学报(自然科学版), 2008, 25(4): 15-17 |
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| 作者姓名： | 卢西庄 |
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| 作者单位： | 华东师范大学,数学系,上海,200241;亳州师范高等专科学校,理化系,安徽,蒙城,233500 |
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| 基金项目： | 亳州师范高等专科学校科研基金项目(BSKY0805)资助 |
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| 摘 要： | 用边界层函数法给出了一类二次非线性奇摄动Robin问题的渐进解，并在一定假设条件下讨论了渐近解的一致有效性，且给出关于小参数的任意阶的余项估计．
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| 关 键 词： | 奇摄动 边界函数 渐近解 余项估计 |
Asymptotic Solution for a Kind of Quadradic Nonlinear Singular Perturbation Robin Problems |
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| LU Xi-zhuang. Asymptotic Solution for a Kind of Quadradic Nonlinear Singular Perturbation Robin Problems[J]. Journal of Fuyang Teachers College:Natural Science, 2008, 25(4): 15-17 |
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| Authors: | LU Xi-zhuang |
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| Affiliation: | LU Xi-zhuang (1. Dept. of Mathematics,East China Normal University. ,Shanghai 200241 ,China ; 2. Dept. of Science ,Bozhou Teachers College ,Mengcheng ,Anhui 233500,China) |
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| Abstract: | The asymptotic solution for a kind of quadradic nonlinear singular perturbation robin problems is given by means of boundary functions,and its uniform validity is discussed under some conditions.More over,the nth-order asymptotic estimate is obtained. |
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| Keywords: | singular perturbation boundary functions asymptotic sulotion remainder estimation |
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