Weighted limit solution of a nonlinear differential equation at a singular point and its property
On a finite interval, we consider a system of nonlinear ordinary differential equations with a singularity at the left endpoint of the interval. The definition of weighted limit solution is introduced and its attracting property is established.
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| Date: | 2017 |
|---|---|
| Main Authors: | , , , |
| Format: | Article |
| Language: | Russian |
| Published: |
Institute of Mathematics, NAS of Ukraine
2017
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/1815 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1865788815313993728 |
|---|---|
| author | Dzhumabaev, D. S. Uteshova, R. E. Джумабаев, Д. С. Утешова, Р. Е. Джумабаев, Д. С. Утешова, Р. Е. |
| author_facet | Dzhumabaev, D. S. Uteshova, R. E. Джумабаев, Д. С. Утешова, Р. Е. Джумабаев, Д. С. Утешова, Р. Е. |
| author_institution_txt_mv | [
{
"author": "Д. С. Джумабаев",
"institution": null
},
{
"author": "Р. Е. Утешова",
"institution": null
}
] |
| author_sort | Dzhumabaev, D. S. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2019-12-05T09:28:05Z |
| description | On a finite interval, we consider a system of nonlinear ordinary differential equations with a singularity at the left endpoint
of the interval. The definition of weighted limit solution is introduced and its attracting property is established. |
| first_indexed | 2026-03-24T02:13:08Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-1815 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus |
| last_indexed | 2026-03-24T02:13:08Z |
| publishDate | 2017 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | |
| spelling | umjimathkievua-article-18152019-12-05T09:28:05Z Weighted limit solution of a nonlinear differential equation at a singular point and its property Предельное с весом решение в сингулярной точке не- линейного обыкновенного дифференциального уравнения и его свойство Dzhumabaev, D. S. Uteshova, R. E. Джумабаев, Д. С. Утешова, Р. Е. Джумабаев, Д. С. Утешова, Р. Е. On a finite interval, we consider a system of nonlinear ordinary differential equations with a singularity at the left endpoint of the interval. The definition of weighted limit solution is introduced and its attracting property is established. На скiнченному iнтервалi розглядається система нелiнiйних звичайних диференцiальних рiвнянь з особливiстю на лiвому кiнцi iнтервалу. Введено означення граничного з вагою розв’язку та встановлено його притягувальну властивiсть. Institute of Mathematics, NAS of Ukraine 2017-12-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/1815 Ukrains’kyi Matematychnyi Zhurnal; Vol. 69 No. 12 (2017); 1717-1722 Український математичний журнал; Том 69 № 12 (2017); 1717-1722 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/1815/797 Copyright (c) 2017 Dzhumabaev D. S.; Uteshova R. E. |
| spellingShingle | Dzhumabaev, D. S. Uteshova, R. E. Джумабаев, Д. С. Утешова, Р. Е. Джумабаев, Д. С. Утешова, Р. Е. Weighted limit solution of a nonlinear differential equation at a singular point and its property |
| title | Weighted limit solution of a nonlinear differential equation
at a singular point and its property |
| title_alt | Предельное с весом решение в сингулярной точке не-
линейного обыкновенного дифференциального уравнения и его свойство |
| title_full | Weighted limit solution of a nonlinear differential equation
at a singular point and its property |
| title_fullStr | Weighted limit solution of a nonlinear differential equation
at a singular point and its property |
| title_full_unstemmed | Weighted limit solution of a nonlinear differential equation
at a singular point and its property |
| title_short | Weighted limit solution of a nonlinear differential equation
at a singular point and its property |
| title_sort | weighted limit solution of a nonlinear differential equation
at a singular point and its property |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/1815 |
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