一类带不连续源项的二阶半线性奇摄动Robin边值问题  

A Second-order Semi-linear Singularly Perturbed Robin Value Problem with Discontinuous Source Terms

作　　者：林红绪 杨李凡 胡雨欣 

机构地区：[1]东华大学理学院应用数学系,上海201620

出　　处：《应用数学》2015年第1期47-56,共10页Mathematica Applicata

基　　金：中央高校基本科研业务费项目(2232012D3-34)

摘　　要：本文研究一类带不连续源项的二阶奇摄动方程Robin边值问题.利用边界层函数法和缝接法,分别构造左、右问题的边界层校正函数,得到奇摄动问题在整个区间上解的渐近行为,证明解的存在性,并对余项进行估计.通过一个典型的例子,验证了本文结果的正确性.In this paper, a second-order semi-linear singularly perturbed Robin value problem with discontinuous source terms is studied. By using the method of boundary func- tion and sewing method,the corrected functions of the left and right boundary layers are con- structed. Thus, the uniformly valid asymptotic solution is derived. Then, the existence of so- lutions of the problem is proved and the error estimation between the reduced and the exact solutions is given. As an illustration,an example is presented.

关 键 词：边界层函数法 缝接法 ROBIN边值问题 不连续源项 奇摄动 

分 类 号：O175.14[理学—数学]