平面双曲方程组特征问题唯一可解性的离散现象(Ⅱ)

Discrete Phenomena in Unique Solvability for Goursat's Problems of the Hyperbolic System of Second Order(Ⅱ)

本文在一般情况下建立了函数方程(2)唯一可解的充要条件,揭示了平面双曲方程组及其它一些问题唯一可解性发生离散现象的根本原因,在于函数方程(2)的有限维结构以及与方程(2)有紧密关系的某个矩阵的特征性质。

We give a necessary and sufficient condition for the unique solvability in C^n of the functional equations(2).The essence of the discrete phenomena in unique solvability for the problems of the hyperbolic system is the characte-ristic property of a matrix related to the functional equation(2).