广义解析函数关于区域边界摄动的稳定性

The stability of generalized analytic function when the boundary curve of domain of integration perturbs

讨论广义解析函数关于区域边界曲线摄动的稳定性,把它化为一类Fred-holm积分方程的解一致收敛性的问题,然后利用上述Fredholm积分方程预解核性质成功地解决了问题.

We discuss the stability of generalized analytic function when the boundary curve of domain of integration perturbs. The problem of stability is converted into the uniform convergence of the Fredholm singular integral equation, and then resolved by using the properties of the resolvent kernel of Freholm integral equation.