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

A. R. KhalmukhamedovFaculty of Mathematics, National University of Uzbekistan, 100174, Tashkent, UzbekistanE. I. KuchkorovFaculty of Mathematics, National University of Uzbekistan, 100174, Tashkent, Uzbekistan
2026en

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Abstract The nonlocal problem for an inhomogeneous differential equation of the Boussinesq type in a multidimensional domain is investigated. The conditions of existence and uniqueness of solution are established and a spectral decomposition for the solution is obtained.

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