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Matematicheskie Zametki, 2013, Volume 93, Issue 4, Pages 537–548
DOI: https://doi.org/10.4213/mzm9023 (Mi mzm9023) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Asymptotics of Eigenvalues of the Two-Dimensional Dirichlet Boundary-Value Problem for the Lamé Operator in a Domain with a Small Hole

D. B. Davletov

Bashkir State Pedagogical University
Full-text PDF (497 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm9023
Abstract: The Dirichlet boundary-value problem for the eigenvalues of the Lamé operator in a two-dimensional bounded domain with a small hole is studied. The asymptotics of the eigenvalue of this boundary-value problem is constructed and justified up to the power of the parameter defining the diameter of the hole.
Keywords: Dirichlet boundary-value problem, Lamé operator, Fredholm alternative, holomorphic function, asymptotics of eigenvalues, Bessel function.
Received: 10.11.2010
Revised: 09.12.2011
English version:
Mathematical Notes, 2013, Volume 93, Issue 4, Pages 545–555
DOI: https://doi.org/10.1134/S000143461303022X
Bibliographic databases:
Document Type: Article
UDC: 517.956
Language: Russian
Citation: D. B. Davletov, “Asymptotics of Eigenvalues of the Two-Dimensional Dirichlet Boundary-Value Problem for the Lamé Operator in a Domain with a Small Hole”, Mat. Zametki, 93:4 (2013), 537–548; Math. Notes, 93:4 (2013), 545–555
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
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