研究一类带线段转向点的奇摄动椭圆型微分方程的边值问题.首先,利用多尺度方法构造出带线段转向点的形式近似解;然后,借助比较定理,证明解的近似展开式的一致有效性.
Boundary value problem for a class of elliptic differential equations with a segment of turning points is considered. Firstly, using the method of multiple scales the formal asymptotic solution with turning points is constructed. And then, the uniform validity for the asymptotic expansion of the solution is proved by using the comparison theorem.
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