一类奇摄动非线性边值问题的角层现象(英文)  

The Angular Layer Phenomena for a Class of Singularly Perturbed Nonlinear Boundary Value Problems

作　　者：周克浩[1] 姚静荪[1] 秦赵娜[1] 

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：《应用数学》2013年第4期881-887,共7页Mathematica Applicata

基　　金：Supported by the National Natural Science Foundation of China (11201004);the Natural Science Foundation from the Education Bureau of Anhui Province,China (KJ2011A135)

摘　　要：本文研究一类二阶微分方程奇摄动Dirichlet问题的角层现象.在适当的条件下,我们构造出具体的上、下解,并利用微分不等式理论证明解的存在性,给出解的渐近估计.In this paper, we study angular layer solutions of singularly perturbed problems of a class of second order differential equations. Under certain conditions, we contruct specific upper and lower solutions, then prove the exisitence of the solutions;and give the asymptotic estimate of solutions by the theory of differential inequality.

关 键 词：奇摄动 角层现象 非线性方程 微分不等式理论 

分 类 号：O175.14[理学—数学]