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)

  • Publication Type: Article / Article
  • Volume: 4 Issue: V7
  • Publication Date: 2022
  • Journal Name: Advanced Mathematical Models & Applications
  • Journal Indexes: Scopus
  • Page Numbers: pp.44-47
  • Azerbaijan State University of Economics (UNEC) Affiliated: Yes

Abstract

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.