摘要
运用逼近理论及矩阵理论证明 :如果一类退化椭圆型方程在非退化边界上满足第三边界条件 ,在退化边界上满足给定微商值 ,那么它的解是存在且唯一的。
It is proved by using the function approximation theory and martrix theory that for a degenerate elliptic equation of the first class, if the third boundary value condition is satisfied at its nondegenerate boundary and the given derivative values are satisfied at its degenerate boundary, then its solution is existent and unique.