一阶线性双曲型复方程的Riemann-Hilbert问题(英文)

THE RIEMANN HILBERT PROBLEM FOR LINEAR HYPERBOLIC COMPLEX EQUATIONS OF FIRST ORDER

讨论在单连通区域上的一阶线性双曲型复方程的Ｒｉｅｍａｎｎ－Ｈｉｌｂｅｒｔ边值问题，首先给出边值问题解的表示式，然后用逐次逼近法证明该边值问题解的存在性和唯一性．

In this paper, we discuss the Riemann Hilbert boundary value problem for linear hyperbolic complex equations of first order in a simply connected domain. First, we give a representation of solutions for the above boundary value problem, then by using the method of successive iteration, the existence and uniqueness of solutions for the above problem are proved.