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

  • Nəşrin Növü: Article / Article
  • Cild: 43 Say: 1
  • Nəşr tarixi: 2023
  • jurnalın adı: Transactions Issue Mathematics, Azerbaijan National Academy of Sciences
  • Jurnalın baxıldığı indekslər: Scopus
  • Səhifə sayı: pp.16-20
  • Açar sözlər: a second-order hyperbolic equation, method of successive approximations, The Cauchy problem, the Riemann function, transformation operator
  • Adres: Bəli

Qısa məlumat

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.