<正> 众所周知,解析函数的非线性边值问题与非线性奇异积分方程之间有密切联系,本文将在空间H_R,K,δ中讨论非线性奇异积分方程:

It is well known that there is intimate relation between the nonlinear bounbary problem of analytic function anb the nonlinear singular integral equation. In this paper, we shall discuss the solution of nonlinear singulal integrar equation in the space HR,K,δin which L is a closed curve in the complex plane. We shall prove that equation (1) can be changed intoa nonlinear singular integral equation which has a Hilbert kernel.In this equation u.(x) = U(σ(X)) ,g(x, s, u,(s)) is defined by f(σ, T, U(σ)). If we prove the existence and uniqueness of the solution of equation (2), we can solve equation (1).