Distribution of the spectrum and representation of solutions of degenerate dynamical systems
We propose algebraic methods for the investigation of the spectrum and structure of solutions of degenerate dynamical systems. These methods are based on the construction and solution of new classes of matrix equations. We prove theorems on the inertia of solutions of the matrix equations, which gen...
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| Date: | 1998 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian 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/4873 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511054999584768 |
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| author | Mazko, A. G. Мазко, А. Г. Мазко, А. Г. |
| author_facet | Mazko, A. G. Мазко, А. Г. Мазко, А. Г. |
| author_sort | Mazko, A. G. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:16:14Z |
| description | We propose algebraic methods for the investigation of the spectrum and structure of solutions of degenerate dynamical systems. These methods are based on the construction and solution of new classes of matrix equations. We prove theorems on the inertia of solutions of the matrix equations, which generalize the well-known properties of the Lyapunov equation. |
| first_indexed | 2026-03-24T03:06:48Z |
| format | Article |
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| id | umjimathkievua-article-4873 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:06:48Z |
| publishDate | 1998 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/77/a5c7ea51e524b74a30bc5640fcd90977.pdf |
| spelling | umjimathkievua-article-48732020-03-18T21:16:14Z Distribution of the spectrum and representation of solutions of degenerate dynamical systems Распределение спектра и представление решений вырожденных динамических систем Mazko, A. G. Мазко, А. Г. Мазко, А. Г. We propose algebraic methods for the investigation of the spectrum and structure of solutions of degenerate dynamical systems. These methods are based on the construction and solution of new classes of matrix equations. We prove theorems on the inertia of solutions of the matrix equations, which generalize the well-known properties of the Lyapunov equation. Запропоновано алгебраїчні методи дослідження спектра та структури розв'язків вироджених динамічних систем, що зводяться до побудови та розв'язування нових класів матричних рівнянь. Встановлюються теореми про інерцію розв'язків матричних рівнянь, що узагальнюють відомі властивості рівняння Ляпунова. Institute of Mathematics, NAS of Ukraine 1998-07-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4873 Ukrains’kyi Matematychnyi Zhurnal; Vol. 50 No. 7 (1998); 930–936 Український математичний журнал; Том 50 № 7 (1998); 930–936 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4873/6445 https://umj.imath.kiev.ua/index.php/umj/article/view/4873/6446 Copyright (c) 1998 Mazko A. G. |
| spellingShingle | Mazko, A. G. Мазко, А. Г. Мазко, А. Г. Distribution of the spectrum and representation of solutions of degenerate dynamical systems |
| title | Distribution of the spectrum and representation of solutions of degenerate dynamical systems |
| title_alt | Распределение спектра и представление решений вырожденных динамических систем |
| title_full | Distribution of the spectrum and representation of solutions of degenerate dynamical systems |
| title_fullStr | Distribution of the spectrum and representation of solutions of degenerate dynamical systems |
| title_full_unstemmed | Distribution of the spectrum and representation of solutions of degenerate dynamical systems |
| title_short | Distribution of the spectrum and representation of solutions of degenerate dynamical systems |
| title_sort | distribution of the spectrum and representation of solutions of degenerate dynamical systems |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4873 |
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