On a Boundary Value Problem in a Cylinder for a Sixth-OrderPseudohyperbolic Equation

In the present article, we consider the first boundary value problem in a cylinder for a certain sixth-order equation that is not resolved with respect to the highest-order derivative. This is a strictly pseudohyperbolic equation with lower terms. We prove that there exists a unique generalized solution of the boundary value problem in an anisotropic Sobolev space and obtain estimates of this solution.