| 伴有边界摄动的三阶微分方程边值问题解的多重边界层现象 |
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| 引用本文： | 陈丽华. 伴有边界摄动的三阶微分方程边值问题解的多重边界层现象[J]. 福建师大福清分校学报, 1999, 0(2): 27-33 |
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| 作者姓名： | 陈丽华 |
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| 摘 要： | 本研究一类伴有边界摄动的三阶半线性微分方程边值问题解的多重边界层现象，在适当的假设条件下，利用微分不等式的方法，证明解的一致有效展开式及有关余项估计。
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| 关 键 词： | 边界摄动 三阶微分方程 边值问题解 多重边界层现象 余项估计 |
MULTIPLE BOUNDARY LAYER PHENOMENA OF SOLUTION OF BOUNDARY VALUE PROBLEM FOR THIRD ORDER DIFFERENTIAL EQUATION WITH BOUNDARY PERTURBATION |
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| Chen Lihua. MULTIPLE BOUNDARY LAYER PHENOMENA OF SOLUTION OF BOUNDARY VALUE PROBLEM FOR THIRD ORDER DIFFERENTIAL EQUATION WITH BOUNDARY PERTURBATION[J]. Journal of Fuqing Branch of Fujian Normal University, 1999, 0(2): 27-33 |
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| Authors: | Chen Lihua |
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| Abstract: | In this paper, we study the multiple boundary laper phenomena of solution of boundary value problem for third order semilinear ordinary differential equation with boundary perturbation. Under suitable con ditions, by the method of differential inequality, we prove uniformly valid expansion of the solution, and give its estimation of remmainder term. |
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| Keywords: | boundary perturbation singular perturbation multiple boundary layer phenomena |
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