Mathematics

On a nonlocal boundary value problem for a mixed parabolic-hyperbolic equation

I. U. Khaydarov, Mamanazarov A.O.

Fergana State University, Fergana, Uzbekistan

Abstract: We formulate and study a nonlocal problem with a special matching conditions and shift conditions for a parabolic-hyperbolic equation. Using the theory of integral equations we established the unique solvability of the considered problem.

Keywords: nonlocal problem, parabolic-hyperbolic equation, method of integral equations.

UDC: 517.956

Received: 06.01.2025
Revised: 09.08.2025

Language: English

DOI: 10.47475/2500-0101-2025-10-4-715-732