几类具代数或指数衰减的层问题  

Several Classes of Problems with Algebraic or Exponential Decay Layers

作　　者：杨雪洁[1] 周有顺 

机构地区：[1]安徽师范大学数学计算机科学学院,安徽芜湖241003

出　　处：《安徽师范大学学报（自然科学版）》2015年第5期419-426,共8页Journal of Anhui Normal University(Natural Science)

基　　金：国家自然科学基金(11271020)

摘　　要：主要研究了几类二阶非线性方程的奇摄动Dirichlet问题的边界层和角层现象.在适当的条件下,利用界定函数法和微分不等式理论证明了这几类问题呈边界层和角层性态的解的存在性,并给出了解的渐近估计.In this paper,we mainly study boundary layer and angular layer phenomenons for several classes of singulary perturbed Dirichlet problems of second-order nonlinear equations. Under certain conditions,the existence of the problems＇ solutions which exhibits boundary layer and angular layer behavior is proved and the asymptotic estimation of solutions is given by the method of bounding functions and the theory of differential inequalities.

关 键 词：奇摄动 边界层 角层 微分不等式理论 

分 类 号：O175.14[理学—数学]