This article is cited in 3 papers

Classical solution of the boundary-value problem for hyperbolic equation in half-region

V. I. Korzyuk^ab, E. S. Cheb^ab, A. A. Karpechina<sup>ab

a</sup> Belarusian State University, Minsk
^b Institute of Mathematics of the National Academy of Sciences of Belarus

Abstract: Using method of characteristics the analytical solution of the first problem for the hyperbolic equation $(\partial_t-a^{(1)}\partial_x+b^{(1)})(\partial_t-a^{(2)}\partial_x+b^{(2)})u=f(t,x),$ is under construction. Conditions of the coordination of initial and boundary condition are deduced.

UDC: 517.956.32

Received: 05.10.2012