摘要
研究了一类奇摄动半线性Robin问题.在适当的条件下,分析了该问题出现多重解现象.利用合成展开法构造出问题的形式渐近解,并应用微分不等式理论证明了解的存在性以及当ε→0时解的渐近性质.
Some singularly perturbed semi linear Robin problems are studied. Multisolution phenomena of the problem which may be occur are analyzed. Formal asymptotic solutions of problems are constructed using the method of composite expansions,and then the existence and asymptotic behavior（as ε → 0） of solutions are proved by the theory of diferential inequalities.
出处
《数学研究》
CSCD
2013年第4期395-405,共11页
Journal of Mathematical Study
基金
国家自然科学基金(11202106)
安徽高校省级自然科学基金(KJ2011A135)
关键词
奇摄动
ROBIN问题
多重解
合成展开法
微分不等式理论
Singular perturbation
Robin problems
Multi-solutions
The method of composite expansions
Theory of diferential inequalities
