• 论文 •

### 具有快慢层的非光滑奇异摄动问题的空间对照结构

1. 1 周口师范学院数学与统计学院 河南周口 466000
2 华东师范大学数学科学学院 上海 200241
• 收稿日期:2017-12-12 出版日期:2019-08-26 发布日期:2019-09-11
• 通讯作者: 陈华雄 E-mail:chen410401301@163.com
• 基金资助:
国家自然科学基金(61703447);河南省高等学校重点科研项目(19A110038);河南省高等学校重点科研项目(18A110039);周口师范学院科研基金(ZKNUC2016012);周口师范学院科研基金(ZKNUC2017020);周口师范学院科研基金(ZKNUB2201806)

### The Contrast Structure for the Singularly Perturbed Problem with Slow-Fast Layers and Discontinuous Righthand Side

Huaxiong Chen1,*(),Yanyan Wang1,Mingkang Ni2

1. 1 School of Mathematics and Statistics, Zhoukou Normal University, Henan Zhoukou 466000
2 School of Mathematical Sciences, East China Normal University, Shanghai 200241
• Received:2017-12-12 Online:2019-08-26 Published:2019-09-11
• Contact: Huaxiong Chen E-mail:chen410401301@163.com
• Supported by:
the NSFC(61703447);the Key Research Projects in University of Henan Province(19A110038);the Key Research Projects in University of Henan Province(18A110039);the Research Fund Projects of Zhoukou Normal University(ZKNUC2016012);the Research Fund Projects of Zhoukou Normal University(ZKNUC2017020);the Research Fund Projects of Zhoukou Normal University(ZKNUB2201806)

Abstract:

This paper discusses the contrast structure solution for the singularly perturbed problem with slow-fast layers and discontinuous righthand side. By applying the boundary function method, the asymptotic solution of this problem is constructed. Then using the sewing connection method, the existence of the solution is shown and the asymptotic solution is proved to be uniformly valid. Finally, an example is given to illustrate the main results.

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