【摘要】 讨论了无界域上二维波动方程Ｕｔｔ－Ｋ￣２（ｘ，ｙ）（Ｕｘｘ＋Ｕｙｙ）＝０关于ｘ离散得到相应的离散问题，它是一维情形的方程组。在假定系数Ｋ（ｘ，ｙ）对关于ｘ变化较小的情形下，把它化为第二类积分方程组，构造了求解离散问题的迭代方法，这种迭代在局部范围内收敛，并证明了离散问题存在唯一解。更多还原

【Abstract】 This paper discusses the scatter problem about x for two-dimensional wave equationUtt-k￣2(x, y).(Uxx+Uyy)=0 in no limit rang. It is an equation group for one dimension. Underthe assuming condition of the coefficient which changes smaller about x, we turn the probleminto integral equations of second type. Then we structure interational method for solving scattering problem.The main results are that we prove the conver-gence of this method in,range and consequently the existencs and unicueness of the scattering problem.更多还原