| 向量二阶非线性积分微分方程边值问题的奇摄动 |
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| 引用本文： | 林苏榕. 向量二阶非线性积分微分方程边值问题的奇摄动[J]. 数学物理学报(A辑), 2007, 27(6): 1133-1140 |
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| 作者姓名： | 林苏榕 |
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| 作者单位： | 福建广播电视大学计算机系 福州 |
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| 摘 要： | 该文研究向量二阶非线性积分微分方程边值问题的奇摄动, 在适当的条件下利用对角化方法证明了解的存在性, 构造出解的渐近展式并给出余项的一致有效的估计.
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| 关 键 词： | 向量积分微分方程 边值问题 奇异摄动 |
| 文章编号： | 1003-3998（2007）06-1133-08 |
| 收稿时间： | 2005-11-16 |
| 修稿时间： | 2006-10-08 |
Singular Perturbation of Boundary Value Problems for VectorSecond Order Nonlinear Integro-Differential Equations |
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Lin Surong
. Singular Perturbation of Boundary Value Problems for VectorSecond Order Nonlinear Integro-Differential Equations[J]. Acta Mathematica Scientia, 2007, 27(6): 1133-1140 |
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| Authors: | Lin Surong
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| Affiliation: | Department of Computer, Fujian Broadcasting TV University, Fuzhou 350003 |
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| Abstract: | The present paper covers the singularly perturbed boundary value problems for vector second order nonlinear integro-differential equations. Under suitable conditions, the existence of the solution is proved by the diagonalization method, the asymptotic expansion of the solution is constructed, and its uniformly valid estimate of remainder term is given as well. |
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| Keywords: | Vector intcgro-differential equation: Boundary value problem Singular perturbation. |
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