The problem with shift for a degenerate hyperbolic equation of the first kind

The problem with shift for a degenerate hyperbolic equation of the first kind

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For a degenerate first-order hyperbolic equation of the second order containing a term with a lower derivative, we study two boundary value problems with an offset that generalize the well-known first and second Darboux problems.Theorems on an existence of the Logic ICs unique regular solution of problems are proved under certain conditions on given functions and parameters included in the formulation of the problems under study.The properties of all regular solutions of the equation Training aids under consideration are revealed, which are analogues of the mean value theorems for the wave equation.