拟线性双曲型方程古尔沙问题解的存在区域

The Domain of the Existence of the Solution on Goursat Problem for Quasi——linear Hyperbolic Equation

本文以两个自变量的拟线性双曲型方程的古尔沙问题为例,应用反函数和积分不等式证明了等价积分方程组解的存在唯一性,同时给出了解的存在区域和已知参量的依赖关系。

In this paper, we show the domain of the existence of the solution on Goursat problem for quasi—linear hyperbolic equation and obtain the Theorem of the existence and uniqueness in above domain.