可换四元数空间中某些双曲型方程的Riemann-Hilbert边值问题

The Riemann-Hilbert Problems for Some Classes of Hyperbolic Equations in Commutative Quaternion Space

考察了在可交换四元数空间(基元为1,i,j,k满足条件i^2=j^2=-1,ij=ji= k)中的某些双曲型方程的Riemann-Hilbert边值问题,分别在不同的情况下获得了问题的可解条件和通解.

We study the Riemann-Hilbert boundary value problems for some classes of hyperbolic equations in commutative quaternion algebra space with basis elements 1,i,j, k satisfying the relationship i^2 = j^2 = -1, ij = ji = k, and obtain the general solutions and the solvable conditions of the problems respectively in different cases.