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Vestnik SamGU. Estestvenno-Nauchnaya Ser., 2014, Issue 3(114), Pages 41–45 (Mi vsgu350)  
Mathematics

Eigenvalue problem for the Laplace operator with displacement in derivatives

A. V. Gerasimova, B. V. Loginovb, N. N. Yuldashevc

a Ogarev Mordovia State University, Saransk, 430005, Russian Federation
b Ulyanovsk State Technical University, Ulyanovsk, 432027, Russian Federation
c Tashkent Institute of Textile and Light Industry, Tashkent, 100100, Uzbekistan Republic
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Abstract: The statement of the problem on the determination of eigen- and adjoint-functions for Laplace operator in $s$-dimensional unit ball with displacement in derivatives is given. For $s=2$ the conditions are obtained for the existence of adjoint functions of the not higher than three order and their computation is made. The case of arbitrary $s$ is the subject of future work.
Keywords: Laplace operator, unit ball in $R^s$, eigenvalues, eigen and adjoint functions for $s=2$.
Received: 18.11.2013
Revised: 19.12.2013
Document Type: Article
UDC: 517.9
Language: Russian
Citation: A. V. Gerasimov, B. V. Loginov, N. N. Yuldashev, “Eigenvalue problem for the Laplace operator with displacement in derivatives”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2014, no. 3(114), 41–45
Citation in format AMSBIB
\Bibitem{GerLogYul14}
\by A.~V.~Gerasimov, B.~V.~Loginov, N.~N.~Yuldashev
\paper Eigenvalue problem for the Laplace operator with displacement in derivatives
\jour Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya
\yr 2014
\issue 3(114)
\pages 41--45
\mathnet{http://mi.mathnet.ru/vsgu350}
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