On unique solvability of the system of gravitational-gyroscopic waves in the Boussinesq approximation

Initial boundary value problem is studied for the system of gravitational-gyroscopic waves in the Boussinesq approximation, i. e. for the integro-differential system of equations with partial derivatives. The existence of a unique solution is proved for the problem by the methods of the theory of degenerate evolution equations in Banach spaces.