The Riemann function of the Cauchy problem for a second-order hyperbolic equation with a growing coefficient

Abbasova K. E.

Transactions Issue Mathematics, Azerbaijan National Academy of Sciences, vol.43, no.1, pp.16-20, 2023 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 43 Issue: 1
  • Publication Date: 2023
  • Journal Name: Transactions Issue Mathematics, Azerbaijan National Academy of Sciences
  • Journal Indexes: Scopus
  • Page Numbers: pp.16-20
  • Keywords: a second-order hyperbolic equation, method of successive approximations, The Cauchy problem, the Riemann function, transformation operator
  • Azerbaijan State University of Economics (UNEC) Affiliated: Yes

Abstract

The paper investigates the properties of the Riemann function of the Cauchy problem for a second-order hyperbolic equation with a growing coefficient. The existence and uniqueness of the Riemann function are proved. Estimates are found for the Riemann function and its derivatives.