Manifolds of Eigenfunctions and Potentials of a Family of Periodic Sturm–Liouville Problems
We consider a family of boundary-value problems in which the role of a parameter is played by a potential. We investigate the smooth structure and homotopic properties of the manifolds of eigenfunctions and degenerate potentials corresponding to double eigenvalues.
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| Date: | 2002 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2002
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4145 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1865791252478296064 |
|---|---|
| author | Dymarskii, Ya. M. Дымарский, Я. М. Дымарский, Я. М. |
| author_facet | Dymarskii, Ya. M. Дымарский, Я. М. Дымарский, Я. М. |
| author_institution_txt_mv | [
{
"author": "Я. М. Дымарский",
"institution": "Луган. гос. ун-т внутренних дел им. Э. А. Дидоренко"
}
] |
| author_sort | Dymarskii, Ya. M. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:23:18Z |
| description | We consider a family of boundary-value problems in which the role of a parameter is played by a potential. We investigate the smooth structure and homotopic properties of the manifolds of eigenfunctions and degenerate potentials corresponding to double eigenvalues. |
| first_indexed | 2026-03-24T02:54:29Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4145 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:54:29Z |
| publishDate | 2002 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/5c/f99e8344608635e70cdfc694c71c265c.pdf |
| spelling | umjimathkievua-article-41452020-03-18T20:23:18Z Manifolds of Eigenfunctions and Potentials of a Family of Periodic Sturm–Liouville Problems Многообразия собственных функций и потенциалов семейства периодических задач Штурма - Лиувилля Dymarskii, Ya. M. Дымарский, Я. М. Дымарский, Я. М. We consider a family of boundary-value problems in which the role of a parameter is played by a potential. We investigate the smooth structure and homotopic properties of the manifolds of eigenfunctions and degenerate potentials corresponding to double eigenvalues. Розглянуто сукупність крапових задач па власні функції, параметром якої є потенціал. Досліджено гладку структуру та гомотонічні властивості многовидів власних функцій та многовидів вироджених потенціалів, яким відповідають двократні власні значення. Institute of Mathematics, NAS of Ukraine 2002-08-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4145 Ukrains’kyi Matematychnyi Zhurnal; Vol. 54 No. 8 (2002); 1042-1052 Український математичний журнал; Том 54 № 8 (2002); 1042-1052 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4145/4999 https://umj.imath.kiev.ua/index.php/umj/article/view/4145/5000 Copyright (c) 2002 Dymarskii Ya. M. |
| spellingShingle | Dymarskii, Ya. M. Дымарский, Я. М. Дымарский, Я. М. Manifolds of Eigenfunctions and Potentials of a Family of Periodic Sturm–Liouville Problems |
| title | Manifolds of Eigenfunctions and Potentials of a Family of Periodic Sturm–Liouville Problems |
| title_alt | Многообразия собственных функций и потенциалов семейства периодических задач Штурма - Лиувилля |
| title_full | Manifolds of Eigenfunctions and Potentials of a Family of Periodic Sturm–Liouville Problems |
| title_fullStr | Manifolds of Eigenfunctions and Potentials of a Family of Periodic Sturm–Liouville Problems |
| title_full_unstemmed | Manifolds of Eigenfunctions and Potentials of a Family of Periodic Sturm–Liouville Problems |
| title_short | Manifolds of Eigenfunctions and Potentials of a Family of Periodic Sturm–Liouville Problems |
| title_sort | manifolds of eigenfunctions and potentials of a family of periodic sturm–liouville problems |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4145 |
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