The Cauchy Type Integral And Boundary Value Problems Of Analytic Functions On The Stability Of The Boundary Curve

Thepaper is divided into three chapters．Chapter I is devoted to investigatethe stability of Cauchy type integral when the smooth perturbation of integralcurve occurs,which consummates the conclusion of literature［58］．In Chapter Ⅱwe discuss the stability of solutions of Riemann boundary value problem underthe condition of perturbation of boundarp curve．When the index of problem is lessthan zero,we put forward a conception of perturbation quasi－solvability andquasi－solutions. Chapter Ⅲ considers Hilbert boundary value problem on an unitcircle,we give the solutions and its stability of this problem when the boundarycurve,namely,the unit circle occurs perturbation．...