| 伴有边界摄动的Volterra型积分微分方程组的奇摄动 |
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| 引用本文： | 吴钦宽.伴有边界摄动的Volterra型积分微分方程组的奇摄动[J].高校应用数学学报(A辑),2007,22(2):210-216. |
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| 作者姓名： | 吴钦宽 |
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| 作者单位： | 南京工程学院,基础部,江苏南京,210013 |
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| 基金项目： | 南京工程学院基金(KXJ04093) |
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| 摘 要： | 讨论了伴有边界摄动的二阶非线性Volterra型积分微分方程组的奇摄动.在适当的条件下,利用对角化技巧证明了解的存在性,构造出解的渐近展开式并给出余项的一致有效估计.
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| 关 键 词： | 奇摄动 积分微分方程组 边界摄动 |
| 文章编号： | 1000-4424（2007）02-0210-07 |
| 收稿时间： | 2004-10-26 |
| 修稿时间： | 2004-10-26 |
Singular perturbation for system of Volterra type integral differential equations with boundary perturbation |
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| WU Qin-kuan.Singular perturbation for system of Volterra type integral differential equations with boundary perturbation[J].Applied Mathematics A Journal of Chinese Universities,2007,22(2):210-216. |
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| Authors: | WU Qin-kuan |
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| Institution: | Dept. of Basic Courses, Nanjing Institute of Technology, Nanjing 210013, China |
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| Abstract: | The singular perturbation for second order system of nonlinear Volterra type integral differential equations with boundary perturbation is discussed.Under suitable conditions the existence of solutions is proved through diagonalization and the asymptotic expansion of the solution is constructed,and its uniformly valid estimation of remainder terms is given as well. |
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| Keywords: | singular perturbation system of integral differential equations boundary perturbation |
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