广义解析函数关于区域边界摄动的稳定性

摘要

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 integra-tion perturbs. The problem of stability is converted into the uniform convergence of the Fredholm singular integral e-quation, and then resolved by using the properties of the resolvent kernel of Freholm integral equation.