| 非线性奇摄动两点边值问题的激波性态 |
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| 引用本文： | 唐荣荣.非线性奇摄动两点边值问题的激波性态[J].数学进展,2005,34(4):497-502. |
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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,湖州,浙江,313000 |
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| 基金项目： | Supported by the National Natural Science Foundation of China（No 10471039） , the Natural Science Foundation of Zhejiang （No Y604127） and Zhejiang Education 0ffice （No 20030594）. |
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| 摘 要： | 在适当的条件下，利用奇摄动理论和匹配原理，讨论了一类非线性奇摄动两点边值问题的激波性态，构造了原问题的内部和外部解，较简捷地得到了与边界条件相对应的具有激波性态的解的表达式以及位于区间内部的激波位置。
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| 关 键 词： | 非线性 奇摄动 激波层 性态 |
| 文章编号： | 1000-0917（2005）04-0497-06 |
| 收稿时间： | 2004-10-08 |
| 修稿时间： | 2004年10月8日 |
The Shock Behavior for the Nonlinear Singularly Perturbed Two-points Boundary Value Problems |
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| TANG Rong-rong.The Shock Behavior for the Nonlinear Singularly Perturbed Two-points Boundary Value Problems[J].Advances in Mathematics,2005,34(4):497-502. |
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| Authors: | TANG Rong-rong |
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| Abstract: | Under appropriate conditions, using the singulary perturbed theory and the matching principle, the shock behavior for a class of the nonlinear singularly perturbed two-points boundary value problems are considered. The outer and interior solutions of the original problem are constructed. According to boundary conditions, the expressions of the solutions with shock behavior are obtained and the shock locations in interval are decided simply and conveniently. |
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| Keywords: | nonlinear singularly perturbation shock layer behavior |
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