Abstract:

We discussed the solution of complete singular integral equation with Cauchy and convolution kernels and  variable limit. Based on  the Fourier transform and the theory of Riemann boundary value problem and Fredholm integral equation, the equation was transfered to the equivalent Fredholm integral equation in {{0}} undering some conditions. Then  solving the equivalent Fredholm integral equation, we got solvable conditions and general solution on the equation  discussed in {{0}}.

Key words: singular integral equation, convolution kernel, Cauchy kernel, Fredholm integral equation