On the Manifolds of Eigenvectors of Linear and Quasilinear Finite-Dimensional Self-Adjoint Operators. II
We investigate the manifold of normalized eigenvectors of self-adjoint operators. We present the homotopic classification of typical quasilinear eigenvector problems based on the properties of this manifold.
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| Datum: | 2001 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
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Institute of Mathematics, NAS of Ukraine
2001
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/4252 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510381116489728 |
|---|---|
| author | Dymarskii, Ya. M. Дымарский, Я. М. Дымарский, Я. М. |
| author_facet | Dymarskii, Ya. M. Дымарский, Я. М. Дымарский, Я. М. |
| author_sort | Dymarskii, Ya. M. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:25:15Z |
| description | We investigate the manifold of normalized eigenvectors of self-adjoint operators. We present the homotopic classification of typical quasilinear eigenvector problems based on the properties of this manifold. |
| first_indexed | 2026-03-24T02:56:05Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4252 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:56:05Z |
| publishDate | 2001 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/c8/686597575001256fd48dc0919d86aec8.pdf |
| spelling | umjimathkievua-article-42522020-03-18T20:25:15Z On the Manifolds of Eigenvectors of Linear and Quasilinear Finite-Dimensional Self-Adjoint Operators. II О многообразиях собственных векторов линейных и квазилинейных конечномерных самосопряженных операторов. II Dymarskii, Ya. M. Дымарский, Я. М. Дымарский, Я. М. We investigate the manifold of normalized eigenvectors of self-adjoint operators. We present the homotopic classification of typical quasilinear eigenvector problems based on the properties of this manifold. Розглянуто многовид нормованих власних векторів самоспряжених операторів. За допомогою властивостей многовиду наведено гомотопічну класифікацію типових квазілінійних задач на власні вектори. Institute of Mathematics, NAS of Ukraine 2001-03-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4252 Ukrains’kyi Matematychnyi Zhurnal; Vol. 53 No. 3 (2001); 296-301 Український математичний журнал; Том 53 № 3 (2001); 296-301 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4252/5208 https://umj.imath.kiev.ua/index.php/umj/article/view/4252/5209 Copyright (c) 2001 Dymarskii Ya. M. |
| spellingShingle | Dymarskii, Ya. M. Дымарский, Я. М. Дымарский, Я. М. On the Manifolds of Eigenvectors of Linear and Quasilinear Finite-Dimensional Self-Adjoint Operators. II |
| title | On the Manifolds of Eigenvectors of Linear and Quasilinear Finite-Dimensional Self-Adjoint Operators. II |
| title_alt | О многообразиях собственных векторов линейных и квазилинейных конечномерных самосопряженных операторов. II |
| title_full | On the Manifolds of Eigenvectors of Linear and Quasilinear Finite-Dimensional Self-Adjoint Operators. II |
| title_fullStr | On the Manifolds of Eigenvectors of Linear and Quasilinear Finite-Dimensional Self-Adjoint Operators. II |
| title_full_unstemmed | On the Manifolds of Eigenvectors of Linear and Quasilinear Finite-Dimensional Self-Adjoint Operators. II |
| title_short | On the Manifolds of Eigenvectors of Linear and Quasilinear Finite-Dimensional Self-Adjoint Operators. II |
| title_sort | on the manifolds of eigenvectors of linear and quasilinear finite-dimensional self-adjoint operators. ii |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4252 |
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