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.
Show me the PDF file (196 KB), TEX file, and other files for this article.
Valery V. Karachik Department of Mathematical and Functional Analysis South Ural State University 454080, 76, Lenin ave., Chelyabinsk, Russia email: karachik@susu.ru | |
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 | |
Berikbol T. Torebek Department of Differential Equations Institute of Mathematics and Mathematical Modeling 125 Pushkin str., 050010 Almaty, Kazakhistan email: turebekb85@mail.ru |
Return to the EJDE web page