摘要
本文研究一类二阶非线性微分方程初值问题的奇摄动，揭示了其解呈现双重层性质，在适当的假设条件下，利用微分不等式理论，得到了解的存在性和具有不同量级校正项的渐近展开式．
In this paper, we study the singular perturbation of initial value problem for a class of second order nonlinear differential equation, the solution is shown to exhibit double layer behavior. Under appropriate conditions, using the theory of differential inequality, the author gets the existence of the solution and its asymptotic estimation with correction terms for different order of magnitude.
出处
《应用数学学报》
CSCD
北大核心
2001年第2期291-294,共4页
Acta Mathematicae Applicatae Sinica
关键词
奇摄动
微分不等式
微分方程
双重层
渐近展开式
Singular perturbation, differential inequality, initial value problem, double layer
