A kind of boundary value problem for inhomogeneous partial differential system

Abstract

Abstract In this article, we first define a kind of generalized singular integral operator and discuss its properties. Then we propose a kind of boundary value problem for an inhomogeneous partial differential system in R 4 $R^{4}$ . Finally, the integral representation of the solution to a boundary value problem for the inhomogeneous partial differential system is obtained using the above singular integral operator.

Keywords

• generalized holomorphic function
• singular integral operators
• inhomogeneous partial differential system
• boundary value problem
• integral representation