Valery V. Karachik, Makhmud A. Sadybekov, Berikbol T. Torebek
Abstract:
In this article we study a generalized third boundary-value
problem for homogeneous biharmonic equation in a unit ball with
general boundary operators up to third order inclusively,
containing normal derivatives and Laplacian. A uniqueness theorem
for the solution is proved, and some examples are given.
Submitted August 27, 2015. Published September 22, 2015.
Math Subject Classifications: 35J05, 35J25, 26A33.
Key Words: Biharmonic equation; boundary value problem; Laplace operator.
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Valery V. Karachik Department of Mathematical and Functional Analysis South Ural State University 454080, 76, Lenin ave., Chelyabinsk, Russia email: karachik@susu.ru |
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Makhmud A. Sadybekov Department of Mathematical Methods in Information Technologies Institute of Mathematics and Mathematical Modeling 050010 125 Pushkin str., Almaty, Kazakhistan email: makhmud-s@mail.ru |
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Berikbol T. Torebek Department of Differential Equations Institute of Mathematics and Mathematical Modeling 125 Pushkin str., 050010 Almaty, Kazakhistan email: turebekb85@mail.ru |
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