| 具有转向点的奇摄动Volterra型积分微分方程Robin问题 |
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| 引用本文： | 吴钦宽. 具有转向点的奇摄动Volterra型积分微分方程Robin问题[J]. 兰州理工大学学报, 2005, 31(4): 124-126 |
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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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| 摘 要： | 对一类具有转向点的奇摄动Volterra型积分微分方程Robin问题，利用伸长蛮量和边界层校正法，得到了问题解的形式渐近展开式，再用微分不等式理论，证明解的存在性并给出了解的一致有效渐进估计。
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| 关 键 词： | 奇摄动 转向点 积分微分方程 Robin问题 |
| 文章编号： | 1000-5889(2005)04-0124-03 |
| 收稿时间： | 2004-08-10 |
| 修稿时间： | 2004-08-10 |
Singularly perturbed Robin problems for integral differential equation of Volterra type with tuning point |
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| WU Qin-kuan. Singularly perturbed Robin problems for integral differential equation of Volterra type with tuning point[J]. Journal of Lanzhou University of Technology, 2005, 31(4): 124-126 |
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| Authors: | WU Qin-kuan |
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| Abstract: | For a category of singularly perturbed Robin problems in an integral differential equation of Voiterra type with tuning point,a formal asymptotic expansion was obtained by using stretched variable and the method of boundary layer correction. Then, the existence of solution was verified and the uniformly valid asymptotic estimation was given by using the differential inequalities. |
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| Keywords: | singular perturbation turning point integral differential equation Robin problem |
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