Investigation of a linear evolution system in the Banach space with random times of perturbations
For a linear evolution system given in the Banach space and characterized by pulse perturbations at random times, we establish conditions for the existence of a unique solution of the Cauchy problem and investigate the stability of the zero solution.
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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/4945 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511127526440960 |
|---|---|
| author | Svishchuk, M. Ya. Свіщук, М. Я. |
| author_facet | Svishchuk, M. Ya. Свіщук, М. Я. |
| author_sort | Svishchuk, M. Ya. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:17:35Z |
| description | For a linear evolution system given in the Banach space and characterized by pulse perturbations at random times, we establish conditions for the existence of a unique solution of the Cauchy problem and investigate the stability of the zero solution. |
| first_indexed | 2026-03-24T03:07:57Z |
| format | Article |
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| id | umjimathkievua-article-4945 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:07:57Z |
| publishDate | 1998 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/60/faec9055c357a0980b537350ace5f460.pdf |
| spelling | umjimathkievua-article-49452020-03-18T21:17:35Z Investigation of a linear evolution system in the Banach space with random times of perturbations Дослідження лінійної еволюційної сис теми в банаховому просторі з випадковими моментами збурення Svishchuk, M. Ya. Свіщук, М. Я. For a linear evolution system given in the Banach space and characterized by pulse perturbations at random times, we establish conditions for the existence of a unique solution of the Cauchy problem and investigate the stability of the zero solution. Для лінійної еволюційної системи, заданої в банаховому просторі, з імпульсним збуренням у випадкові моменти часу встановлюються умови існування єдиного розв'язку задачі Коші та досліджується стійкість нульового розв'язку. Institute of Mathematics, NAS of Ukraine 1998-03-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4945 Ukrains’kyi Matematychnyi Zhurnal; Vol. 50 No. 3 (1998); 433–436 Український математичний журнал; Том 50 № 3 (1998); 433–436 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4945/6589 https://umj.imath.kiev.ua/index.php/umj/article/view/4945/6590 Copyright (c) 1998 Svishchuk M. Ya. |
| spellingShingle | Svishchuk, M. Ya. Свіщук, М. Я. Investigation of a linear evolution system in the Banach space with random times of perturbations |
| title | Investigation of a linear evolution system in the Banach space with random times of perturbations |
| title_alt | Дослідження лінійної еволюційної сис теми в банаховому просторі з випадковими моментами збурення |
| title_full | Investigation of a linear evolution system in the Banach space with random times of perturbations |
| title_fullStr | Investigation of a linear evolution system in the Banach space with random times of perturbations |
| title_full_unstemmed | Investigation of a linear evolution system in the Banach space with random times of perturbations |
| title_short | Investigation of a linear evolution system in the Banach space with random times of perturbations |
| title_sort | investigation of a linear evolution system in the banach space with random times of perturbations |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4945 |
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