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On a Non-Local Problem for a Boussinesq Type Differential Equation

Sh. A. AlimovNational University of Uzbekistan, 100174, Tashkent, UzbekistanA. R. KhalmukhamedovNational University of Uzbekistan, 100174, Tashkent, Uzbekistan
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Abstract

The nonlocal problem for a 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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