| 奇摄动问题中的空间对照结构 |
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| 引用本文： | 倪明康.奇摄动问题中的空间对照结构[J].华东师范大学学报(自然科学版),2006,2006(1):1-12. |
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| 作者姓名： | 倪明康 |
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| 作者单位： | 华东师范大学,数学系,上海,200062;上海高校计算科学E-研究院,上海交通大学研究所,上海,200030 |
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| 基金项目： | 上海市浦江人才计划
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上海市教委资助项目
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教育部留学基金 |
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| 摘 要： | 综述了从20世纪90年代初开始兴起的对奇摄动问题中空间对照结构解的研究状况.具体介绍了常微分方程中具有阶梯状和脉冲状空间对照结构的一系列工作,其中包括临界情况和非临界情况;同时介绍了变分问题中空间对照结构研究的最新进展,并对偏微分方程中空间对照结构的发展进行了概述.
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| 关 键 词： | 奇摄动 空间对照结构 阶梯状结构 脉冲状结构 |
| 文章编号： | 1000-5641（2006）01-0001-12 |
| 收稿时间： | 2005-9-17 |
| 修稿时间： | 2005-10-28 |
Studies in Contrast Spatial Structure Solutions for Singular Perturbation Problems(Chinese) |
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| NI Ming-kang.Studies in Contrast Spatial Structure Solutions for Singular Perturbation Problems(Chinese)[J].Journal of East China Normal University(Natural Science),2006,2006(1):1-12. |
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| Authors: | NI Ming-kang |
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| Institution: | 1. Department of Mathematics, East China Normal University, Shanghai 200062, China; 2. SJTU Section, Computational Science Division, E-Institute of Shanghai Universities, Shanghai 200030, China |
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| Abstract: | This paper surveys recent developments in studies of contrast spatial structure solutions of singularly perturbed problems, which have rise since the beginning of 1990's. It mainly introduces a series of work about step-type and spike-type solutions in ODE, including critical and uncritical cases. In the meanwhile, it introduces the latest research progress of contrast spatial structure of variation problems. The outline of contrast spatial structure solutions in PDE is also included. |
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| Keywords: | Singular Perturbation Contrast Spatial Structure Solutions step-type solutions spike-type solutions |
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