Asymptotic solution of one-dimensional spectral boundary-value problems with rapidly varying coefficients: The case of multiple spectra
We suggest a method for the construction of complete asymptotic expansions for eigenvalues and eigen-functions of spectral boundary-value problems for differential equations with rapidly varying coefficients in the case of multiple spectra of the averaged problem. The effect of splitting of multiple...
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| Date: | 1998 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1998
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4825 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511002536181760 |
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| author | Teplins’kyi, O. Yu. Теплінський, О. Ю. |
| author_facet | Teplins’kyi, O. Yu. Теплінський, О. Ю. |
| author_sort | Teplins’kyi, O. Yu. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:15:12Z |
| description | We suggest a method for the construction of complete asymptotic expansions for eigenvalues and eigen-functions of spectral boundary-value problems for differential equations with rapidly varying coefficients in the case of multiple spectra of the averaged problem. The effect of splitting of multiple eigen-values is illustrated by an example of a special fourth-order problem. |
| first_indexed | 2026-03-24T03:05:58Z |
| format | Article |
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| id | umjimathkievua-article-4825 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:05:58Z |
| publishDate | 1998 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/bc/818cd5ca81c24f1c4f34b3dc02f312bc.pdf |
| spelling | umjimathkievua-article-48252020-03-18T21:15:12Z Asymptotic solution of one-dimensional spectral boundary-value problems with rapidly varying coefficients: The case of multiple spectra Асимптотичне розв'язання одновимірних крайових спектральних задач із швидкозмінними коефіцієнтами: випадок кратного спектра Teplins’kyi, O. Yu. Теплінський, О. Ю. We suggest a method for the construction of complete asymptotic expansions for eigenvalues and eigen-functions of spectral boundary-value problems for differential equations with rapidly varying coefficients in the case of multiple spectra of the averaged problem. The effect of splitting of multiple eigen-values is illustrated by an example of a special fourth-order problem. Запропоновано метод побудови повних асимтхл ичпих розкладів для власних значень і власних функцій крайових спектральних задач для звичайних диференціальних рівнянь із швидко змінними коефіцієнтами для випадку кратного спектра усередненої задачі. Ефект розщеплення кратних власних значень показано на прикладі конкретної задачі четвертого порядку. Institute of Mathematics, NAS of Ukraine 1998-10-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4825 Ukrains’kyi Matematychnyi Zhurnal; Vol. 50 No. 10 (1998); 1399–1408 Український математичний журнал; Том 50 № 10 (1998); 1399–1408 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4825/6349 https://umj.imath.kiev.ua/index.php/umj/article/view/4825/6350 Copyright (c) 1998 Teplins’kyi O. Yu. |
| spellingShingle | Teplins’kyi, O. Yu. Теплінський, О. Ю. Asymptotic solution of one-dimensional spectral boundary-value problems with rapidly varying coefficients: The case of multiple spectra |
| title | Asymptotic solution of one-dimensional spectral boundary-value problems with rapidly varying coefficients: The case of multiple spectra |
| title_alt | Асимптотичне розв'язання одновимірних крайових спектральних
задач із швидкозмінними коефіцієнтами: випадок кратного спектра |
| title_full | Asymptotic solution of one-dimensional spectral boundary-value problems with rapidly varying coefficients: The case of multiple spectra |
| title_fullStr | Asymptotic solution of one-dimensional spectral boundary-value problems with rapidly varying coefficients: The case of multiple spectra |
| title_full_unstemmed | Asymptotic solution of one-dimensional spectral boundary-value problems with rapidly varying coefficients: The case of multiple spectra |
| title_short | Asymptotic solution of one-dimensional spectral boundary-value problems with rapidly varying coefficients: The case of multiple spectra |
| title_sort | asymptotic solution of one-dimensional spectral boundary-value problems with rapidly varying coefficients: the case of multiple spectra |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4825 |
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