| 伴有边界摄动的三阶拟线性向量微分方程边值问题的奇摄动 |
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| 引用本文： | 林宗池 林苏榕. 伴有边界摄动的三阶拟线性向量微分方程边值问题的奇摄动[J]. 高校应用数学学报(A辑), 1993, 0(3): 239-250 |
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| 作者姓名： | 林宗池 林苏榕 |
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| 作者单位： | 福州市福州师范大学数学系，福建电大 350007 |
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| 摘 要： | 本文研究伴有边界摄动的三阶拟线性向量微分方程边值问题的奇摄动,在适当的假设下,利用对角化技巧和不动点原理证明了摄动问题解的存在唯一性并给出解的任意阶的一致有效的渐近展开式和余项的估计。
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| 关 键 词： | 向量微分方程 边值问题 奇摄动 |
SINGULAR PERTURBATION OF BOUNDARY VALUE PROBLEMS FOR THIRD ORDER QUASI-LINEAR VECTOR DIFFERENTIAL EQUATION WITH BOUNDARY PERTURBATION |
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| Lin Zongchi Lin Surong. SINGULAR PERTURBATION OF BOUNDARY VALUE PROBLEMS FOR THIRD ORDER QUASI-LINEAR VECTOR DIFFERENTIAL EQUATION WITH BOUNDARY PERTURBATION[J]. Applied Mathematics A Journal of Chinese Universities, 1993, 0(3): 239-250 |
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| Authors: | Lin Zongchi Lin Surong |
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| Affiliation: | Lin Zongchi Lin Surong (Fujian Normal University) (Fujian Broadcasting TV University) |
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| Abstract: | In this paper we consider the singular perturbation of boundary value problems for the third order vector differential equation with boundary perturbation. Under appropriate assumptions and by using the technique of diagonalization and the principle of fixed point, the existence and uniqueness of the solution is proved, and a uniformly valid asymptotic expansion of arbitrary order for the solution and the estimation of remainder term are given. |
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| Keywords: | Vector Differential Equation Singular Perturbation Asymptotic Expansion. |
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