Hilbert边值问题的逼近解法

APPROXIMATE SOLUTION OF HILBERT BOUNDARY VALUE PROBLEMS

讨论了与单位圆上的线性Ｈｉｌｂｅｒｔ边值问题相关的离散Ｈｉｌｂｅｒｔ边值问题，给出了其解法，并且证明了当问题的指标κ＝０时。

We consider the discrete Hilbert problems corresponding to the linear Hilbert problems on the unit circle and obtain their solutions. In case the index κ=0 of the problems, we establish that the solution of the discrete problems converges to the solution of Hilbert problem in Holder norm.