Email this article On the Dirichlet–Riquier problem for biharmonic equations
- Authors: Karachik V.V.1, Torebek B.T.2
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Affiliations:
- South Ural State University
- Institute of Mathematics and Mathematical Modeling, MON RK
- Issue: Vol 102, No 1-2 (2017)
- Pages: 31-42
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/150074
- DOI: https://doi.org/10.1134/S0001434617070045
- ID: 150074
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Abstract
The existence of a solution of the Dirichlet–Riquier problem for a homogeneous biharmonic equation in the unit ball with boundary operators up to third order containing normal derivatives and the Laplacian is studied. Existence theorems for the solutions of the problem are proved.
About the authors
V. V. Karachik
South Ural State University
Author for correspondence.
Email: karachik@susu.ru
Russian Federation, Chelyabinsk
B. T. Torebek
Institute of Mathematics and Mathematical Modeling, MON RK
Email: karachik@susu.ru
Kazakhstan, Almaty
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