中文摘要：

利用广义逆扰动研究了一类含稠定闭算子A的算子方程AX=B的解,给出该算子方程导出解的存在性条件与广义逆表示,并给出相应Douglas解的表示与连续性.

英文摘要：

This paper is concerned with the generalized inverse and operator equation. For the densely defined closed operator A, the existence and expression on generalized inverse of reduced solutions for operator equation AX=B are obtained. The expression and continuity theorem of Douglas solutions are also provided.