具有无限长区域非线性奇摄动方程

THE PRRTURBED SOLUTION OF NONLINEAR EQUATION WITH AN UNBOUNDED INTERVAL

用伸长变换和匹配条件讨论了一类具有无限长区域的非线性方程的摄动问题 :y″+ 2xy′+εy2 y′=0 ,x ∈ (1,∞ ) ,y(1) =α ,y(∞ ) =β 。

Using elongation transformation and mathching condition, the following nonlinear equation perturbed problem is discussed: y″+2xy′+εy 2y′=0,x∈(1,∞),y(1)=α,y(∞)=β, which is with an unbounded interval. The Zero order asymptotic solution is obtained.