Dirichlet problem for third-order hyperbolic equations
O. S. ZikirovM. Ulugbek National University of Uzbekistan, ul. Universitetskaya 4, Tashkent, 100174, Republic of Uzbekistan
ABI
Abstract
We consider Dirichlet problem for third-order linear hyperbolic equations. We prove the existence and uniqueness of classical solution by means of an energy inequality and Riemann’s method. We reveal the influence of coefficients at lower derivatives on the well-posedness of the Dirichlet problem.