【摘要】 讨论如下问题：其中λ1（r，s）与λ2（r，s）是已知函数，x＝x（t）是非特征曲线，A（t）及ψ（s）是已知的可微函数．求解区域是H＝{（x，t）|x＞X（t），t}．在适当的假设下．文中采用速矢端变换，证明了上述问题的整体光滑解存在且唯一更多还原

【Abstract】 This paper deals with the following problem: where λ1,(r, s) and λ2(r, s) are given functions, x = x(t) is not characteristic curve, A (t ) = (s) are given differenhable functions. The domain considered is a rectangular region H = { (x, t) | x > x (t )’ t }. Under suitable assumptions, the existence and the uniqueness of global smooth solutions for the above problem are proved by the hodograph transformation.更多还原