Boundary Value Problems Of Some Second Order Equations And Generalized K-Regular Functions

In this paper, boundary value problems of some second orderequations and generalized k- regular functions are considered by using complexanalytic methods. The paper consists of three chapters. In the first chapter,the Riemann-Hilbert boundary value problem of non-normal type for biregularfunctions and some boundary value problems of the inhomogeneous secondorder equation ((?)~2w)/((?)z~2) = f are considered. In the second chapter, we discussthe Dirichlet boundary value problem for generalized k- regular functionsin Clifford analysis and obtain the solvability conditions of this problem andrepresentation formulas for solutions. In the last chapter, the Riemann boundaryvalue problem for some second order equations of several complex variablesis studied by using methods from complex analysis. The solvability condi-tions of this problem and representation formulas of solutions are derived as well.