摘要
本文研究一类具有高阶转向点的二次奇摄动问题.在一定条件下,指出该问题的解在转向点t=0处呈尖层性态.用合成展开法构造出解的O(ε)阶近似,并应用微分不等式理论证明解的存在性及其渐近性质.
Some quadratic singular perturbation problems with high-order turning points are stud- ied. Under certain conditions, solutions are shown to exhibit spike layer behavior at turning point t = 0. An 0（ε） approximation of the problem is constructed using the method of composite expansions. It is then shown that the existence of solutions using the theory of differential inequalities.
出处
《应用数学》
CSCD
北大核心
2014年第1期50-55,共6页
Mathematica Applicata
基金
Supported by the National Natural Science Foundation of China(11202106)
the Natural Science Foundation from the Education Bureau of Anhui Province(KJ2011A135)
关键词
奇摄动
二次问题
转向点
尖层
合成展开法
微分不等式
Singular perturbation
Quadratic problem
Turning point
Spike layer
Method of composite expansion
Differential inequality
