Estimates of eigenvalues of a boundary value problem with a parameter

Alexey Vladislavovich Filinovskiy

Vol. 19 No. 3 (2014)
Special Issue: Proceedings of the 8th Conference on Applied Mathematics and Scientific Computing, Šibenik, Croatia, 2013

8th Conference on Applied Mathematics and Scientific Computing

Estimates of eigenvalues of a boundary value problem with a parameter

Published 2014-10-25

Alexey Vladislavovich Filinovskiy

Alexey Vladislavovich Filinovskiy
N.E. Bauman State Technical University

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Abstract

We study an eigenvalue problem for theLaplace operator with boundary condition containing a parameter. We estimate the rate of convergence of the eigenvalues to the eigenvalues of the Dirichlet problem for large positive values of the parameter

Keywords

Laplace operator, boundary value problem, large parameter, eigenvalues

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Author Biography

Alexey Vladislavovich Filinovskiy

Department of Fundamental Sciences

Professor