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On the Solvability of a Nonlocal Problem for a Boussinesq-Type Differential Equation

A. R. KhalmukhamedovUlugbek National University of Uzbekistan, 100174, Tashkent, Republic of UzbekistanE. I. KuchkorovUlugbek National University of Uzbekistan, 100174, Tashkent, Republic of Uzbekistan
Russian Mathematicsjournal2023en
ABI

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.

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