Teona Bibilashvili, Sergo Kharibegashvili

Darboux Type Problem for a Class of Fourth-Order Nonlinear Hyperbolic Equations

abstract:
Darboux type problem for a class of fourth-order nonlinear hyperbolic equations is considered. The theorems on existence, uniqueness and nonexistence of solutions of this problem are proved.

Mathematics Subject Classification: 35G30

Key words and phrases: Nonlinear fourth-order hyperbolic equations, Darboux type problem, existence, uniqueness and nonexistence of solutions