| 某类奇摄动边值问题解的多重边界层现象 |
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| 引用本文： | 林宗池.某类奇摄动边值问题解的多重边界层现象[J].福建师范大学学报(自然科学版),1993(3). |
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| 作者姓名： | 林宗池 |
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| 作者单位： | 福建师范大学数学系 |
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| 摘 要： | 本文揭示了某类四阶半线性常微分方程边值问题解的多重边界层现象,根据不同的层次用不同的伸长变量,分别构造了具有不同量级的边界层校正项,并给出证明摄动问题解存在的充分条件,从而证得关于解的一致有效的渐近展开式和有关的余项估计。
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| 关 键 词： | 四阶常微分方程 奇摄动边值问题 多重边界层现象 |
Multiple Boundary Layer Phenomena of Solution for Singularly Perturbed Boundary Value Problem |
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| Lin Zongchi.Multiple Boundary Layer Phenomena of Solution for Singularly Perturbed Boundary Value Problem[J].Journal of Fujian Teachers University(Natural Science),1993(3). |
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| Authors: | Lin Zongchi |
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| Institution: | Department of Mathematics |
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| Abstract: | In this paper the author revealed the multiple boundary layer phenomena of solution of boundary value problem for a fourth order semilinear ordinary differential equation. According to the various layer sequence he used various stretch variables and respectively constructed boundary layer correction terms with various quantitative order, and the sufficient conditions of existence of solution are given. Thereby, the uniformly valid asymptotic expansion of solution and the estimation of corresponding to the remainder term are obtained. |
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| Keywords: | fourth order ordinary differential equation boundary value problem singular perturbation multiple boundary layer phenomena |
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