包络理论在一类初值问题中的应用

The Envelope Theory Applied in a Class of Initial Value Problems

本文利用包络理论研究一类一阶常微分方程初值问题,得到了一致有效的渐近展开式,结果表明利用这种方法和其它研究所得结论是一致的。

This paper presents an uniformly valid asymptotic expansion for a class of initial value problems via the envelope theory. And in contrast to other approaches,the results of our method are consistant.