奇异摄动边值问题中的重正化群方法

Renormalization Group Method for a Class of Singular Perturbation Boundary Value Problems

研究二阶奇异摄动边值问题:εd2ydx2+f(x)dydx+g(x,y)=0,y(0)=α,y(1)=β,其中ε是小参数.利用重正化群方法,构造了该边值问题解的一致有效渐近展开式.

The following singular perturbation boundary value problems are discussed：{εd^2y/dx^2＋f（x）dy/dx＋g（x,y）=0 y（0）=α,y（1）=β where ε 〉 0 is a small parameter. By using the so called renormalization group method, we give a uniformly valid asymptotic expansions of the boundary value problems under consideration.