Asymptotic behavior of eigenvalues and eigenfunctions of the Fourier problem in a thick multilevel junction
A spectral boundary-value problem is considered in a plane thick two-level junction Ωε, which is the union of a domain Ω₀ and a large number 2N of thin rods with thickness of order ε=O(N⁻¹). The thin rods are divided into two levels depending on their length. In addition, the thin rods from each lev...
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| Published in: | Український математичний журнал |
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| Date: | 2006 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2006
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| Subjects: | |
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/164954 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Asymptotic behavior of eigenvalues and eigenfunctions of the Fourier problem in a thick multilevel junction / T.A. Melnik // Український математичний журнал. — 2006. — Т. 58, № 2. — С. 195–216. — Бібліогр.: 34 назв. — англ. |