By dint of the stability of Cauchy-type integral with kernel density of class H* for an open arc, this paper discusses the stability of the solution of Riemann boundary value problem with respect to the perturbation of boundary curve to be an open arc.
In this paper, we discuss the stability of general compound boundary value prob-lems combining Riemann boundary value problem for an open arc and Hilbert bound-ary value problem for a unit circle with respect to the perturbation of boundary curve.
Lin Juan (Dept. of Foundation, Fujian Commercial College, Fuzhou 350012) Wang Chuanrong (Dept. of Math., Fuzhou University, Fuzhou 350002)