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Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry], 2012, Volume 8, Number 4, Pages 336–356
(Mi jmag541)
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Homogenization of spectral problem on small-periodic networks
A. S. Krylova, G. V. Sandrakov Taras Shevchenko National University of Kyiv, 64 Volodymyrska Str., Kyiv, 01601 Ukraine
Abstract:
The homogenization of a spectral problem on small-periodic networks with periodic boundary conditions is considered. Asymptotic expansions for eigenfunctions and corresponding eigenvalues on the network are constructed. The theorem is proved which is a justification of the asymptotic expansions for some eigenvalues and eigenfunctions of the problem on the network.
Key words and phrases:
homogenization, spectral problem, small-periodic network, string cross.
Received: 13.06.2012 Revised: 13.08.2012
Citation:
A. S. Krylova, G. V. Sandrakov, “Homogenization of spectral problem on small-periodic networks”, Zh. Mat. Fiz. Anal. Geom., 8:4 (2012), 336–356
Linking options:
https://www.mathnet.ru/eng/jmag541 https://www.mathnet.ru/eng/jmag/v8/i4/p336
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Statistics & downloads: |
Abstract page: | 210 | Full-text PDF : | 75 | References: | 33 |
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