| 带边界摄动的非线性系统Robin问题解的估计 |
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| 引用本文： | 黄晓秋. 带边界摄动的非线性系统Robin问题解的估计[J]. 福建师大福清分校学报, 1996, 0(2): 18-24 |
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| 作者姓名： | 黄晓秋 |
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| 摘 要： | 本研究伴有边界摄动的一般非线性系统Robin边值问题的奇摄动。在一般的条件下，证明了解的存在性，而且得到解及其各导数的高阶一致有效渐近展开式。
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| 关 键 词： | 非线性系统 奇异摄动 Robin边值问题 渐近展开式 余项估计 |
ESTIMATION OF THE SOLUTION TO THE ROBIN PROBLEM OF NONLINEAR SYSTEM WITH BOUNDARY PERTURBATION |
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| Huang Xiaoqiu. ESTIMATION OF THE SOLUTION TO THE ROBIN PROBLEM OF NONLINEAR SYSTEM WITH BOUNDARY PERTURBATION[J]. Journal of Fuqing Branch of Fujian Normal University, 1996, 0(2): 18-24 |
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| Authors: | Huang Xiaoqiu |
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| Affiliation: | Huang Xiaoqiu |
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| Abstract: | In this paper we study the singular perturbation of Robin boundary value problem for the general nonlinear systems with boundary perturbation. Under the general conditions, we prove the existence of the solution and get the asymptotic expansions of the solution and its derivatives, which are uniformly valid for the higher orders. |
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| Keywords: | Singular perturbation Robin boundary value problem Asymptotic expansions. |
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