The Second Boundary Problems Of The Equation (?)Ψ=0and RH Problems Of General Complex Hyperbolic Equations In Quaternionic Analysis

In this paper, by using methods from quaternionic analysis, we discuss thesecond boundary problems of the equation(?)Ψ=0and the Riemann-Hilbert boundary prob-lems of the general complex hyperbolic equations. This paper mainly consists of three chapters.In chapter one, we use the methods from quaternionic analysis to prove some properties ofdivergence and vorticity. In chapter two, we discuss the second boundary problems of theequation(?)Ψ=0, and obtain the general solutions of the problems. In chapter three, wediscuss the Riemann-Hilbert boundary problems of the general complex hyperbolic equations,and obtain the general solutions of the problems.