变系数线性常微分算子的正规能解性

The Normal Solvability of Linear Ordinary Differential Operators with Variable Coefficient

结合广义函数论，局部凸拓扑空间理论和正规能解算子理论，证明了变系数线性常微分算子的正规能解性，从而解决了相应微分方程的弱解存在性问题．

The theory of distributions,locally convex topology space and normal solvable operator are applied to prove the normal solvability of linear ordinary differential operators with variable coefficients,and the problem of distributions divided by polynomial for n =1 is solved.