| 具有转向点的奇摄动边值问题的角层现象 |
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| 引用本文： | 汪玉先,刘树德.具有转向点的奇摄动边值问题的角层现象[J].合肥师范学院学报,2012(3):11-13,17. |
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| 作者姓名： | 汪玉先 刘树德 |
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| 作者单位： | 安徽师范大学数学系 |
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| 基金项目： | 安徽高校省级自然科学基金(KJ2010A153,KJ2010B360) |
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| 摘 要： | 考虑了一类具有转向点的奇摄动二阶线性边值问题。在一阶导数的系数分别具有一个和两个零点,即转向点的情形下,分析可能出现的角层现象,并用匹配渐近展开法导出该问题的零次近似复合展开式。
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| 关 键 词： | 奇摄动 边值问题 转向点 角层现象 匹配渐近展开法 |
Corner Phenomena for Singularly Perturbed Boundary Value Problems with Turning Points |
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| WANG Yu-xian,LIU Shu-de.Corner Phenomena for Singularly Perturbed Boundary Value Problems with Turning Points[J].合肥师范学院学报,2012(3):11-13,17. |
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| Authors: | WANG Yu-xian LIU Shu-de |
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| Institution: | (Department of Mathematics,Anhui Normal Univ.,Wuhu 241000,China) |
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| Abstract: | Some singularly perturbed second order linear boundary value problems with turning points are considered.Corner layer phenomena which may be occurring are analyzed under the case of the coefficient of first derivative with a zero or two zeros,i.e.,turning points.A zero-order approximation composite expansion of the problem is leaded using the method of matched asymptotic expansions. |
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| Keywords: | singular perturbation boundary value problems turning points corner layer phenomena the method of matched asymptotic expansions |
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