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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
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Аннотация

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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