THE RIEMANN FUNCTION OF THE CAUCHY PROBLEM FOR A SECOND-ORDER HYPERBOLIC EQUATION WITH A PERIODIC COEFFICIENT

Məmmədova A.

Advanced Mathematical Models & Applications, vol.4, no.V7, pp.44-47, 2022 (Scopus)

Qısa məlumat

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.