Blow-Up and Global Solvability of the Cauchy Problem for a Pseudohyperbolic Equation Related to the Generalized Boussinesq Equation

Under consideration is the Cauchy problem in the space of continuous functions for a nonlinear strictly hyperbolic equation related to the generalized Boussinesq equation. We discuss the conditions for existence of a global classical solution and blow-up of a solution to the Cauchy problem on a finite time segment.