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Solvability of a Boundary Value Problem for a Differential Equation of the Boussinesq Type

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Abstract

We study the solvability and the construction of the solution of a boundary value problem with a nonlocal integral boundary condition for a three-dimensional analog of the fourth-order homogeneous Boussinesq type differential equation. Separation of variables is used to derive a criterion for the unique solvability of this nonlocal problem. The problem is also considered in the case of violation of the unique solvability criterion.

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Authors and Affiliations

  1. Reshetnev Siberian State Aerospace University, Krasnoyarsk, 660037, Russia

    T. K. Yuldashev

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  1. T. K. Yuldashev
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Correspondence to T. K. Yuldashev.

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Original Russian Text © T.K. Yuldashev, 2018, published in Differentsial’nye Uravneniya, 2018, Vol. 54, No. 10, pp. 1411–1419.

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Yuldashev, T.K. Solvability of a Boundary Value Problem for a Differential Equation of the Boussinesq Type. Diff Equat 54, 1384–1393 (2018). https://doi.org/10.1134/S0012266118100099

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  • DOI: https://doi.org/10.1134/S0012266118100099

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