Advanced Mathematical Models & Applications, vol.4, no.V7, pp.44-47, 2022 (Scopus)
The Cauchy problem for the second-order hyperbolic equation
∂2 U
∂t2− p (t) U=∂2 U
∂x2− p (x) U with
the initial conditions
U |t=t0= 0,
∂U
∂t t=t0= f (x) is considered.
An explicit form of the Riemann function of this problem is found.