Homogenization of Spectral Problem on Small-Periodic Networks
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 con- structed. The theorem is proved which is a justi¯cation of the asymptotic expansions for...
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| Date: | 2012 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2012
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| Series: | Журнал математической физики, анализа, геометрии |
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/106727 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Homogenization of Spectral Problem on Small-Periodic Networks / A.S. Krylova, G.V. Sandrakov // Журнал математической физики, анализа, геометрии. — 2012. — Т. 8, № 4. — С. 336-356. — Бібліогр.: 16 назв. — англ. |
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nasplib_isofts_kiev_ua-123456789-106727 |
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nasplib_isofts_kiev_ua-123456789-1067272025-02-09T11:40:34Z Homogenization of Spectral Problem on Small-Periodic Networks Krylova, A.S. Sandrakov, G.V. 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 con- structed. The theorem is proved which is a justi¯cation of the asymptotic expansions for some eigenvalues and eigenfunctions of the problem on the network. Рассматривается осреднение спектральной задачи на мелко-периодической сетке с периодическими краевыми условиями. Построены асимптотические разложения для собственных функций и соответствующих собственных значений задачи на сетке. Доказана теорема, которая является обоснованием построенной асимптотики для некоторых собственных значений и собственных функций задачи на сетке. 2012 Article Homogenization of Spectral Problem on Small-Periodic Networks / A.S. Krylova, G.V. Sandrakov // Журнал математической физики, анализа, геометрии. — 2012. — Т. 8, № 4. — С. 336-356. — Бібліогр.: 16 назв. — англ. 1812-9471 https://nasplib.isofts.kiev.ua/handle/123456789/106727 en Журнал математической физики, анализа, геометрии application/pdf Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
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 con- structed. The theorem is proved which is a justi¯cation of the asymptotic expansions for some eigenvalues and eigenfunctions of the problem on the network. |
| format |
Article |
| author |
Krylova, A.S. Sandrakov, G.V. |
| spellingShingle |
Krylova, A.S. Sandrakov, G.V. Homogenization of Spectral Problem on Small-Periodic Networks Журнал математической физики, анализа, геометрии |
| author_facet |
Krylova, A.S. Sandrakov, G.V. |
| author_sort |
Krylova, A.S. |
| title |
Homogenization of Spectral Problem on Small-Periodic Networks |
| title_short |
Homogenization of Spectral Problem on Small-Periodic Networks |
| title_full |
Homogenization of Spectral Problem on Small-Periodic Networks |
| title_fullStr |
Homogenization of Spectral Problem on Small-Periodic Networks |
| title_full_unstemmed |
Homogenization of Spectral Problem on Small-Periodic Networks |
| title_sort |
homogenization of spectral problem on small-periodic networks |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| publishDate |
2012 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/106727 |
| citation_txt |
Homogenization of Spectral Problem on Small-Periodic Networks / A.S. Krylova, G.V. Sandrakov // Журнал математической физики, анализа, геометрии. — 2012. — Т. 8, № 4. — С. 336-356. — Бібліогр.: 16 назв. — англ. |
| series |
Журнал математической физики, анализа, геометрии |
| work_keys_str_mv |
AT krylovaas homogenizationofspectralproblemonsmallperiodicnetworks AT sandrakovgv homogenizationofspectralproblemonsmallperiodicnetworks |
| first_indexed |
2025-11-25T22:20:25Z |
| last_indexed |
2025-11-25T22:20:25Z |
| _version_ |
1849802594970501120 |