W_2~1［a，b］空间中线性有界算子方程的解

The Solutions of Bounded Linear Operator Equation in the Space W_2￣1[a,b]

本文在Ｗ空间中给出了有界线性算子方程Ａｕ＝ｆ的形式解．证明了当方程有解时，形式解就是一个精确解．这时，如果只已知．则从精确解得到近似解ｕｎ而近似解ｕｎ在节点上精确满足方程且一致收敛于真解．

in this paper, we give the formal solution of bounded linear operator equation An=f in the space If that the equation has solutions, the formal solution is an exact solution. When is known, we obtain the approximate solution un from the formal solution. If is dease on [a,b], un will uniformly converge to the exact solution.