| 奇摄动非线性向量方程初值问题的第二边界层现象 |
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| 引用本文： | 倪守平.奇摄动非线性向量方程初值问题的第二边界层现象[J].福建师范大学学报(自然科学版),1990(4). |
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| 作者姓名： | 倪守平 |
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| 作者单位： | 福建师范大学数学系 |
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| 摘 要： | 本文研究两参数常微分方程初值问題的第二边界层现象,在适当的假定下,证明了解的存在唯一性,并作出了解的高阶一致有效渐近展开式。
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| 关 键 词： | 奇摄动 初值问题 第二边界层现象 渐近展开式 |
Second Boundary Layer Phenomena for Initial Value Problem of Nonlinear Vector Equation of Singular Perturbation |
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| Ni Shouping.Second Boundary Layer Phenomena for Initial Value Problem of Nonlinear Vector Equation of Singular Perturbation[J].Journal of Fujian Teachers University(Natural Science),1990(4). |
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| Authors: | Ni Shouping |
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| Institution: | Departement of Mathematics |
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| Abstract: | In this paper we study the second boundary layer phenomena for initial value problems Of ordinary differential equations with two small parameters. Under adequate assumptions, we have proved the existenceand uniqueness of solution for initial value problem. Besides, the higher order asymptotic expansion of solution is constructed, which is valid uniformly in the domain. |
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| Keywords: | singular perturbation initial value problem second boundary layer phenomena asymptotic expansion |
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