A. R. Khalmukhamedov, E. I. Kuchkorov, “On the solvability of a nonlocal problem for a Boussinesq-type differential equation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2023, Number 10,Pages <nobr>60

On the solvability of a nonlocal problem for a Boussinesq-type differential equation

A. R. Khalmukhamedov, E. I. Kuchkorov

National University of Uzbekistan named after M. Ulugbek, 4 Universitetskaya str., Almazarsky district, Tashkent, 100174 Republic of Uzbekistan

Abstract: We study a nonlocal problem for a differential Boussinesq-type equations in a multidimensional domain. Conditions for the existence and uniqueness of the solution are established, and a spectral decomposition of the solution is obtained.

Keywords: nonlocal problem, spectral decomposition, Boussinesq type equations.

UDC: 517.95

Received: 02.12.2022
Revised: 02.12.2022
Accepted: 29.03.2023

DOI: 10.26907/0021-3446-2023-10-60-69