摘要
In this Paper the Riemann--Hilbert boundary value problem for first orderquasilinear complex equations of mixed (elliptic- hyperbolic ) type is discussed. Firstly, therepresentation theorem is given, afterwards by using the method of successive iterations,the existence and uniqueness of solutions for the above problem are proved. In [1], A.V.Bitsadze discussed the Tricomi problem for some linear mixed equation of second order,which can be derived from the results of the present paper.
In this Paper the Riemann--Hilbert boundary value problem for first orderquasilinear complex equations of mixed (elliptic- hyperbolic ) type is discussed. Firstly, therepresentation theorem is given, afterwards by using the method of successive iterations,the existence and uniqueness of solutions for the above problem are proved. In [1], A.V.Bitsadze discussed the Tricomi problem for some linear mixed equation of second order,which can be derived from the results of the present paper.
