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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Veröffentlicht in:Нелинейные граничные задачи
Datum:1999
1. Verfasser: Teplinsky, A.Yu.
Format: Artikel
Sprache:English
Veröffentlicht: Інститут прикладної математики і механіки НАН України 1999
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/169278
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren: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
id nasplib_isofts_kiev_ua-123456789-169278
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
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
title Asymptotic expansions for eigenvalues and eigenfunctions of elliptic boundary-value problems with rapidly oscillating coefficients
spellingShingle Asymptotic expansions for eigenvalues and eigenfunctions of elliptic boundary-value problems with rapidly oscillating coefficients
Teplinsky, A.Yu.
title_short 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_sort asymptotic expansions for eigenvalues and eigenfunctions of elliptic boundary-value problems with rapidly oscillating coefficients
author Teplinsky, A.Yu.
author_facet Teplinsky, A.Yu.
publishDate 1999
language English
container_title Нелинейные граничные задачи
publisher Інститут прикладної математики і механіки НАН України
format Article
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]).
issn 0236-0497
url https://nasplib.isofts.kiev.ua/handle/123456789/169278
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.
work_keys_str_mv AT teplinskyayu asymptoticexpansionsforeigenvaluesandeigenfunctionsofellipticboundaryvalueproblemswithrapidlyoscillatingcoefficients
first_indexed 2025-12-02T08:47:03Z
last_indexed 2025-12-02T08:47:03Z
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