Asymptotic expansions for eigenvalues and eigenfunctions of elliptic boundary-value problems with rapidly oscillating coefficients
In the paper I solve the problem of a multiple spectrum without any artificial conditions imposed and obtain whole asymptotic expansions for eigenvalues and eigen-functions of the general smooth boundary-value problem for an elliptic operator with non-uniformly oscillating coe±cients (whose homogeni...
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| Published in: | Нелинейные граничные задачи |
|---|---|
| Date: | 1999 |
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| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
1999
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/169278 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Asymptotic expansions for eigenvalues and eigenfunctions of elliptic boundary-value problems with rapidly oscillating coefficients / A.Yu. Teplinsky // Нелинейные граничные задачи: сб. науч. тр. — 1999. — Т. 9. — С. 98-102. — Бібліогр.: 7 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862658318163509248 |
|---|---|
| author | Teplinsky, A.Yu. |
| author_facet | Teplinsky, A.Yu. |
| citation_txt | Asymptotic expansions for eigenvalues and eigenfunctions of elliptic boundary-value problems with rapidly oscillating coefficients / A.Yu. Teplinsky // Нелинейные граничные задачи: сб. науч. тр. — 1999. — Т. 9. — С. 98-102. — Бібліогр.: 7 назв. — англ. |
| collection | DSpace DC |
| container_title | Нелинейные граничные задачи |
| description | In the paper I solve the problem of a multiple spectrum without any artificial conditions imposed and obtain whole asymptotic expansions for eigenvalues and eigen-functions of the general smooth boundary-value problem for an elliptic operator with non-uniformly oscillating coe±cients (whose homogenization is made in [7]).
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| first_indexed | 2025-12-02T08:47:03Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-169278 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 0236-0497 |
| language | English |
| last_indexed | 2025-12-02T08:47:03Z |
| publishDate | 1999 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Teplinsky, A.Yu. 2020-06-09T16:33:14Z 2020-06-09T16:33:14Z 1999 Asymptotic expansions for eigenvalues and eigenfunctions of elliptic boundary-value problems with rapidly oscillating coefficients / A.Yu. Teplinsky // Нелинейные граничные задачи: сб. науч. тр. — 1999. — Т. 9. — С. 98-102. — Бібліогр.: 7 назв. — англ. 0236-0497 https://nasplib.isofts.kiev.ua/handle/123456789/169278 In the paper I solve the problem of a multiple spectrum without any artificial conditions imposed and obtain whole asymptotic expansions for eigenvalues and eigen-functions of the general smooth boundary-value problem for an elliptic operator with non-uniformly oscillating coe±cients (whose homogenization is made in [7]). en Інститут прикладної математики і механіки НАН України Нелинейные граничные задачи Asymptotic expansions for eigenvalues and eigenfunctions of elliptic boundary-value problems with rapidly oscillating coefficients Article published earlier |
| spellingShingle | Asymptotic expansions for eigenvalues and eigenfunctions of elliptic boundary-value problems with rapidly oscillating coefficients Teplinsky, A.Yu. |
| title | Asymptotic expansions for eigenvalues and eigenfunctions of elliptic boundary-value problems with rapidly oscillating coefficients |
| title_full | Asymptotic expansions for eigenvalues and eigenfunctions of elliptic boundary-value problems with rapidly oscillating coefficients |
| title_fullStr | Asymptotic expansions for eigenvalues and eigenfunctions of elliptic boundary-value problems with rapidly oscillating coefficients |
| title_full_unstemmed | Asymptotic expansions for eigenvalues and eigenfunctions of elliptic boundary-value problems with rapidly oscillating coefficients |
| title_short | Asymptotic expansions for eigenvalues and eigenfunctions of elliptic boundary-value problems with rapidly oscillating coefficients |
| title_sort | asymptotic expansions for eigenvalues and eigenfunctions of elliptic boundary-value problems with rapidly oscillating coefficients |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/169278 |
| work_keys_str_mv | AT teplinskyayu asymptoticexpansionsforeigenvaluesandeigenfunctionsofellipticboundaryvalueproblemswithrapidlyoscillatingcoefficients |