摘要
文章研究一类尖层的Dirichlet边值问题.在适当条件下,用伸长变量构造问题的尖层校正项,用合成展开法构造出该问题的形式近似式,应用微分不等式理论证明解的存在性及其渐近性质.
Some singularly perturbed semilinear boundary value problems with spike layer properties are studied. Under certain conditions, the formal approximation of the problem is constructed using the method of composite expansions, and the existence and asymptotic behavior of solutions are proved by theory of differential inequalities.
出处
《淮北师范大学学报（自然科学版）》
CAS
2011年第4期11-14,共4页
Journal of Huaibei Normal University：Natural Sciences
基金
安徽省高校自然科学基金资助项目(KJ2010A153)
关键词
奇摄动
边值问题
尖层
合成展开法
微分不等式
singular perturbation
boundary value problems
spike layers
the method of composite expansions
theory of differential inequalities
