具有幂率衰减边界层的奇摄动问题  

Singularly Perturbed Problems with a Power-Law Attenuation Boundary Layer

作　　者：孙玉娇 

机构地区：[1]安徽工业大学,数理科学与工程学院,安徽马鞍山

出　　处：《应用数学进展》2018年第1期104-108,共5页Advances in Applied Mathematics

摘　　要：本文主要研究退化方程具有三重根的二阶奇摄动方程边值问题。运用边界层函数法构造出解的形式渐近展开式,得到以幂率形式衰减的边界层函数。最后用上下解方法得到形式解存在性和一致有效估计。Singularly Perturbed Problems with a Power-Law Layer is studied in this paper. The method of boundary layer function is used to construct the formal asymptotic expansion of the solution, and get the attenuated boundary layer functions of power-law. The existence and uniformly valid ap-proximation of solutions are obtained by upper and lower solutions method.

关 键 词：奇摄动 三重根 幂率衰减边界层 渐近解 

分 类 号：O1[理学—数学]