This article is cited in 3 papers

Problem with an analogue of the Bitsadze–Samaraskii condition for one class of degenerate hyperbolic equation

G. M. Mirsaburova

Tashkent state pedagogical university named after Nizami, 27 Bunyodkor str., Tashkent, 100070 Republic of Uzbekistan

Abstract: In a characteristic triangle, for a degenerate hyperbolic equation with a singular coefficient, the correctness of the problem with an analogue of the Bitsadze–Samarskii condition on the boundary and parallel internal characteristics is proved.

Keywords: Bitsadze–Samarskii condition, internal characteristics, functional equation with two shifts, counterexample, combined method, successive approximation, iteration, uniform convergence.

UDC: 517.956

Received: 06.08.2021
Revised: 10.10.2021
Accepted: 23.12.2021

DOI: 10.26907/0021-3446-2022-6-54-59

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2022, 66:6, 43–47