Some Boundary Value Problems In Quasi-quaternion Spaces And The Identification Of Some Fundamental Formulaes

Abstract:In this paper, the author has discussed the Riemann-Hilbert boundary value problems based on Quasi-quaternion space of the first order hyperbolic equation, showed the representation of solution with the method of quaternion analysis and complex analysis.In the first chapter, initial boundary value problems of the first order hyperbolic equations=g=g0e0+Φ1+iΦ2was defined by using the similar method,which render the representation of the problem which is resoluble and general resolvable under two conditions.In the second chapter, combining it with paper[4], the author discussed the establishment of some basic vector formulas on the basis of the Quasi-quaternion Spaces, and given the corresponding proof.