Analogue of Tricomi problem for one characteristically loaded hyperbolic-parabolic equation

In this paper considers an analogue of the Trikomi problem for one characteristically loaded model equation of the mixed hyperbolo-parabolic type of the second order. The loaded term in the domain of the hyperbolic function is the derivative of the desired function trace on characteristics of the equation of the same order as the equation itself. Sufficient conditions on the coefficients are found for a unique solution.