Today, at the Institute of Mathematics and mechanics, the institute seminar on ” Global solutions of the system of nonlinear hyperbolic equations” was held. The head of “Differential equations” department doct. phys. math. sci. Akper Aliyev gave a talk. The talks deals with globally solvable and globally nonsolvable problems for a system of nonlinear hyperbolic equations. Information of investigations in this direction was given. Fujita-type criteria for structural dissipation semi-linear pseudohyperbolic equations were also discussed.