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.
出处
《应用数学》
CSCD
北大核心
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)
关键词
奇摄动
角层现象
非线性方程
微分不等式理论
Singular perturbation Angular layer phenomena Nonlinear equationTheory of differential inequality
