The Stability Of Generalized Analytic Function And Solutions To Its Boundary Value Problem When The Curve Perturbs

This paper is divided into five chapters. The first chapter is foreword; In the second chapter, we study the stability of some singular integral which play a great role in generalized analytic function theory when the boundary curve of domain of integration perturbs; In the third chapter, we discuss the stability of generalized Cauchy type integral when the boundary curve perturbs; In the fourth chapter, we discuss the stability of a class of generalized analytic function when the boundary curve of domain of integration perturbs; Finally,, we show stability of solutions to a class of generalized Hilbert boundary value problem when the boundary curve occurs perturbation.