摘要
研究力学系统中出现的一类数学模型，这类数学模型可以用一组带小参数的常微分方程的形式表示出来。采用了奇异摄动的方法，构造了关于小参数的幂级数展开，作为模型的形式渐近解，并用逐次逼近法证明了该解的一致有效性，从而可以将构造的解作为模型的近似解。
In this paper,a class of mathematics model appearing in the mechanic system was discussed.This kind of model could be written in ODE systems with small parameter.With singular perturbed method,the asymptotic expansion solution which is valid for the model was constructed.
关键词
常微分方程
奇摄动
边界层函数
渐近展开
Ordinary differential equations,singular perturbation,boundary layer function,asymptotic expansion
