| 具有多层现象的非线性奇摄动边值问题 |
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| 引用本文： | 沈丽明,欧阳成.具有多层现象的非线性奇摄动边值问题[J].湖南工程学院学报(自然科学版),2009,19(4). |
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| 作者姓名： | 沈丽明 欧阳成 |
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| 作者单位： | 湖州师范学院理学院,湖州,313000 |
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| 摘 要： | 利用匹配渐近展开法,讨论了一类边界层内有两个特异极限的具有多层现象的非线性奇摄动边值问题,得出了该问题的一致有效的零次渐近多层解.
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| 关 键 词： | 奇摄动 边界层 非线性 匹配法 渐近展开式 |
Nonlnear Singularly Perturbed Boundary Value Problems withmul TI-Layer Phenonenon |
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| SHEN Li-ming,OUYANG Cheng.Nonlnear Singularly Perturbed Boundary Value Problems withmul TI-Layer Phenonenon[J].Journal of Hunan Institute of Engineering(Natural Science Edition),2009,19(4). |
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| Authors: | SHEN Li-ming OUYANG Cheng |
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| Institution: | SHEN Li-ming,OUYANG Cheng (College of Science,Huzhou Teachers' College,Huzhou 313000,China) |
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| Abstract: | Using the method of matched asymptotic expansions,a class of nonlinear singularly perturbed boundary value problems with multi-layer phenomenon in which there are two specific limits is discussed.And uniformly valid asymptotic multi-layer solution of the zero degree of the problem is given. |
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| Keywords: | singular perturbation boundary layer nonlinear matched method asymptotic expansion |
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