Stability of one difference equation with positive coefficients
We consider a linear homogeneous difference equation of ordern with positive coefficients, which is presented in the normal form. We obtain necessary and sufficient conditions for the stability and asymptotic stability.
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| Datum: | 1999 |
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| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
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Institute of Mathematics, NAS of Ukraine
1999
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/4723 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510884254711808 |
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| author | Nikiforova, N. S. Khusainov, D. Ya. Никифорова, Н. С. Хусаинов, Д. Я. Никифорова, Н. С. Хусаинов, Д. Я. |
| author_facet | Nikiforova, N. S. Khusainov, D. Ya. Никифорова, Н. С. Хусаинов, Д. Я. Никифорова, Н. С. Хусаинов, Д. Я. |
| author_sort | Nikiforova, N. S. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:12:04Z |
| description | We consider a linear homogeneous difference equation of ordern with positive coefficients, which is presented in the normal form. We obtain necessary and sufficient conditions for the stability and asymptotic stability. |
| first_indexed | 2026-03-24T03:04:05Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4723 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:04:05Z |
| publishDate | 1999 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/79/0202dc2235098574f9035257b09c8179.pdf |
| spelling | umjimathkievua-article-47232020-03-18T21:12:04Z Stability of one difference equation with positive coefficients Устойчивость одного разностного уравнения с положительными коэффициентами Nikiforova, N. S. Khusainov, D. Ya. Никифорова, Н. С. Хусаинов, Д. Я. Никифорова, Н. С. Хусаинов, Д. Я. We consider a linear homogeneous difference equation of ordern with positive coefficients, which is presented in the normal form. We obtain necessary and sufficient conditions for the stability and asymptotic stability. Розглядається лінійне однорідне різницеве рівняння $n$-го порядку з додатними коефіцієнтами, записане в нормальній формі. Отримано необхідні та достатні умови стійкості та асимпіготичпої стійкості. Institute of Mathematics, NAS of Ukraine 1999-09-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4723 Ukrains’kyi Matematychnyi Zhurnal; Vol. 51 No. 9 (1999); 1276–1280 Український математичний журнал; Том 51 № 9 (1999); 1276–1280 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4723/6147 https://umj.imath.kiev.ua/index.php/umj/article/view/4723/6148 Copyright (c) 1999 Nikiforova N. S.; Khusainov D. Ya. |
| spellingShingle | Nikiforova, N. S. Khusainov, D. Ya. Никифорова, Н. С. Хусаинов, Д. Я. Никифорова, Н. С. Хусаинов, Д. Я. Stability of one difference equation with positive coefficients |
| title | Stability of one difference equation with positive coefficients |
| title_alt | Устойчивость одного разностного уравнения с положительными коэффициентами |
| title_full | Stability of one difference equation with positive coefficients |
| title_fullStr | Stability of one difference equation with positive coefficients |
| title_full_unstemmed | Stability of one difference equation with positive coefficients |
| title_short | Stability of one difference equation with positive coefficients |
| title_sort | stability of one difference equation with positive coefficients |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4723 |
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