Email this article Solvability of a Boundary Value Problem for a Differential Equation of the Boussinesq Type
- Authors: Yuldashev T.K.1
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Affiliations:
- Reshetnev Siberian State Aerospace University
- Issue: Vol 54, No 10 (2018)
- Pages: 1384-1393
- Section: Partial Differential Equations
- URL: https://journal-vniispk.ru/0012-2661/article/view/154857
- DOI: https://doi.org/10.1134/S0012266118100099
- ID: 154857
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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.
About the authors
T. K. Yuldashev
Reshetnev Siberian State Aerospace University
Author for correspondence.
Email: tursunbay@rambler.ru
Russian Federation, Krasnoyarsk, 660037
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