| 一类四阶非线性奇摄动方程的边界层问题 |
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| 引用本文： | 唐荣荣. 一类四阶非线性奇摄动方程的边界层问题[J]. 数学杂志, 2007, 27(4): 385-390 |
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| 作者姓名： | 唐荣荣 |
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| 作者单位： | 湖州师范学院数学系,浙江湖州313000 |
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| 摘 要： | 本文研究了一类四阶非线性奇摄动方程的边界层问题,利用在左右边界层的两次匹配,得出了原问题解的一致有效的渐近表达式.这个结果是奇摄动理论在研究高阶微分方程中的一个应用.
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| 关 键 词： | 非线性 奇摄动 匹配 边界层 |
| 文章编号： | 0255-7797（2007）04-0385-06 |
| 修稿时间： | 2004-09-292005-12-19 |
THE BOUNDARY LAYER PROBLEMS FOR A CLASS OF FOURTH ORDER NONLINEAR SINGULARLY PERTURBED EQUATIONS |
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| TANG Rong-rong. THE BOUNDARY LAYER PROBLEMS FOR A CLASS OF FOURTH ORDER NONLINEAR SINGULARLY PERTURBED EQUATIONS[J]. Journal of Mathematics, 2007, 27(4): 385-390 |
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| Authors: | TANG Rong-rong |
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| Affiliation: | Dept. of Math. , Huzhou Teachers College, Huzhou 313000, China |
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| Abstract: | In this paper, the boundary layer problems for a class of fourth order nonlinear singularly perturbed equations are considered. By using the two times matching for the left and right boundary layer, the uniformly valid asymptotic expression of the solution is obtained. This result is an application of the singularly perturbed theory for research on the higher order differential equation. |
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| Keywords: | nonlinear singularly perturbation matching boundary layer |
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