Local boundary value problems for a model equation of the third order of hyperbolic type

Within the framework of this work, three local boundary value problems for a model equation of hyperbolic type of the third order are formulated and investigated. The solutions of the problems posed are written out explicitly. Conditions are found for given functions that ensure the regularity of solutions to the corresponding problems. The obtained representations of solutions to problems will find applications in further formulations and studies of boundary value problems for various equations of mixed and mixed-composite types with a similar model operator in the hyperbolicity domain.