| 一类奇摄动方程组的内部层 |
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| 引用本文： | 张煜韬,倪明康.一类奇摄动方程组的内部层[J].吉林大学学报(理学版),2020,58(2):189-201. |
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| 作者姓名： | 张煜韬 倪明康 |
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| 作者单位： | 华东师范大学 数学科学学院, 上海 200241 |
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| 摘 要： | 用边界层函数法研究一类奇异摄动Hamilton系统的内部层问题, 得到了这类问题的一致渐近解, 并用缝接法证明其阶梯状解的存在性及形式渐近解的一致有效性.
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| 关 键 词： | 内部层 边界层函数法 形式渐近解 |
| 收稿时间： | 2019-08-26 |
Internal Layer of a Class of Singularly Perturbed Equations |
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| ZHANG Yutao,NI Mingkang.Internal Layer of a Class of Singularly Perturbed Equations[J].Journal of Jilin University: Sci Ed,2020,58(2):189-201. |
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| Authors: | ZHANG Yutao NI Mingkang |
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| Institution: | School of Mathematical Sciences, East China Normal University, Shanghai 200241, China |
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| Abstract: | By using the boundary layer function method, we studied the internal layer problems of a class of singularly perturbed Hamiltonian systems, obtained a uniform asymptotic solution for this type of problem, and proved the existence of the stepwise solution and the uniform validity of formal asymptotic solutions by using the method of ‘sewing’. |
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| Keywords: | internal layer boundary layer function method asymptotic solution |
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