Majorant estimates for solutions of quadratic difference systems with lag
Systems of differential equations with lag with quadratic right-hand sides are considered. A compact matrix form for representing these systems in the general form is suggested. Upper and lower bounds for solutions of systems of quadratic differential equations with arbitrary lag are obtained by usi...
Gespeichert in:
| Datum: | 1995 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
1995
|
| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/5454 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
Institution
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511682613215232 |
|---|---|
| author | Davydov, V. F. Давыдов, В. Ф. Давыдов, В. Ф. |
| author_facet | Davydov, V. F. Давыдов, В. Ф. Давыдов, В. Ф. |
| author_sort | Davydov, V. F. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T08:59:28Z |
| description | Systems of differential equations with lag with quadratic right-hand sides are considered. A compact matrix form for representing these systems in the general form is suggested. Upper and lower bounds for solutions of systems of quadratic differential equations with arbitrary lag are obtained by using quadratic Lyapunov functions. |
| first_indexed | 2026-03-24T03:16:47Z |
| format | Article |
| fulltext |
0102
0103
0104
0105
|
| id | umjimathkievua-article-5454 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:16:47Z |
| publishDate | 1995 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/df/bedc0ddd7b3f4838a38e08a511e4c2df.pdf |
| spelling | umjimathkievua-article-54542020-03-19T08:59:28Z Majorant estimates for solutions of quadratic difference systems with lag Мажорантные оценки решений квадратичных дифференциальных систем с запаздыванием Davydov, V. F. Давыдов, В. Ф. Давыдов, В. Ф. Systems of differential equations with lag with quadratic right-hand sides are considered. A compact matrix form for representing these systems in the general form is suggested. Upper and lower bounds for solutions of systems of quadratic differential equations with arbitrary lag are obtained by using quadratic Lyapunov functions. Розглядаються системи рівнянь з загаюванням та квадратичними правими частинами. Запропонована компактна матрична форма запису таких систем у загальному вигляді. Використовуючи квадратичні функції Ляпунова, одержані оцінки зверху та знизу розв'язків систем квадратичних диференціальних рівнянь з довільним загаюванням. Institute of Mathematics, NAS of Ukraine 1995-04-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5454 Ukrains’kyi Matematychnyi Zhurnal; Vol. 47 No. 4 (1995); 542–545 Український математичний журнал; Том 47 № 4 (1995); 542–545 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5454/7597 https://umj.imath.kiev.ua/index.php/umj/article/view/5454/7598 Copyright (c) 1995 Davydov V. F. |
| spellingShingle | Davydov, V. F. Давыдов, В. Ф. Давыдов, В. Ф. Majorant estimates for solutions of quadratic difference systems with lag |
| title | Majorant estimates for solutions of quadratic difference systems with lag |
| title_alt | Мажорантные оценки решений квадратичных дифференциальных систем
с запаздыванием |
| title_full | Majorant estimates for solutions of quadratic difference systems with lag |
| title_fullStr | Majorant estimates for solutions of quadratic difference systems with lag |
| title_full_unstemmed | Majorant estimates for solutions of quadratic difference systems with lag |
| title_short | Majorant estimates for solutions of quadratic difference systems with lag |
| title_sort | majorant estimates for solutions of quadratic difference systems with lag |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5454 |
| work_keys_str_mv | AT davydovvf majorantestimatesforsolutionsofquadraticdifferencesystemswithlag AT davydovvf majorantestimatesforsolutionsofquadraticdifferencesystemswithlag AT davydovvf majorantestimatesforsolutionsofquadraticdifferencesystemswithlag AT davydovvf mažorantnyeocenkirešenijkvadratičnyhdifferencialʹnyhsistemszapazdyvaniem AT davydovvf mažorantnyeocenkirešenijkvadratičnyhdifferencialʹnyhsistemszapazdyvaniem AT davydovvf mažorantnyeocenkirešenijkvadratičnyhdifferencialʹnyhsistemszapazdyvaniem |