| 一类非线性奇摄动方程解的渐近表示 |
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| 引用本文： | 陈松林. 一类非线性奇摄动方程解的渐近表示[J]. 纯粹数学与应用数学, 2004, 20(4): 344-349 |
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| 作者姓名： | 陈松林 |
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| 作者单位： | 安徽工业大学数理学院,马鞍山,243002 |
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| 基金项目： | 安徽省教育厅自然科学基金 |
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| 摘 要： | 应用匹配渐近方法讨论一类非线性奇异摄动方程的边值问题解的渐近表示,得到了边界层或冲击层解的刻画,阐述了边界参数对边界层或冲击层位置的影响.
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| 关 键 词： | 非线性微分方程 匹配理论 边界层 冲击层 |
The asymptotic solutions for a class of singularly perturbed nonlinear equaitons |
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| Abstract. The asymptotic solutions for a class of singularly perturbed nonlinear equaitons[J]. Pure and Applied Mathematics, 2004, 20(4): 344-349 |
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| Authors: | Abstract |
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| Abstract: | The theory of matched asymptotic expansions are imposed in this paper to discuss the boundary layer behavior of the solutions of a class of singularly perturbed nonlinear differential equations with boundary value conditions,as a results, the relations between the positions of boundary layer or shock layer and boundary values are obtained. |
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| Keywords: | nonlinear differential equaitons the theory of matching boundary layer shock layer |
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