Abstract: This paper, based on[1], discusses the resolution of weight functions and the stability of solution of sigular integral equations with Cauchy Kernel on[-1,1] and the stable condition under Chebyshev Module. It establishes the solvability of the disturbed equation and the continuous reliance on the known functions for the solution of the equation.

Key words: Weight function, Disturbed equation, Stability sclvabidity, Continuous reliance