On the Boundary Value Problem for a Three-Dimensional Analog of the Boussinesq Differential Equation

This paper considers the questions of solvability and construction of the solution of the nonlocal boundary value problem for a three-dimensional analog of the homogeneous fourth-order Boussinesq differential equation. The spectral method is used based on separation of variables. The criterion of so...

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Bibliographic Details
Main Author: T.K. Yuldashev
Format: Article
Language:English
Published: Kazan Federal University 2016-09-01
Series:Учёные записки Казанского университета: Серия Физико-математические науки
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Online Access:http://kpfu.ru/portal/docs/F749645498/158_3_phys_mat_8.pdf
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Summary:This paper considers the questions of solvability and construction of the solution of the nonlocal boundary value problem for a three-dimensional analog of the homogeneous fourth-order Boussinesq differential equation. The spectral method is used based on separation of variables. The criterion of solvability of the considered problem is found. The solvability of the problem is proved under this criterion.
ISSN:2541-7746
2500-2198