【摘要】 讨论了开口弧段上双解析函数的Riemann边值问题的解在边界曲线发生微小的光滑扰动时的稳定性.借助于Cauchy型积分,讨论了当问题的指标不小于零时,它的解的稳定性,当问题的指标小于零时,给出了拟解的概念并讨论了拟解的稳定性.更多还原

【Abstract】 Discuss the stability of solutions to Riemann boundary value problem for bianalytic function under perturbation of the open boundary curve.Using Cauchy type integral,when the index of this problem is non-negative and when z in common region of the new and the old curve,the stability of thesolutions to this problem is proved.For negative index giving a conception of quasi-solution and discussing its stability correspondingly.更多还原