Dependence of Green’s function of an $e$-dichotomous differential equation with matrix projector in the space M on parameters
In the space $\mathfrak{M}$ of bounded numeric sequences, we consider dichotomonly differential equation with a matrix projector. We prove that Green's function of this equation exists, and give the conditions, under which it is continuous and differentiable with respect to the parameters...
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| Datum: | 1994 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
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Institute of Mathematics, NAS of Ukraine
1994
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/5702 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511927405379584 |
|---|---|
| author | Teplinsky, Yu. V. Теплинский, Ю. В. Теплинский, Ю. В. |
| author_facet | Teplinsky, Yu. V. Теплинский, Ю. В. Теплинский, Ю. В. |
| author_sort | Teplinsky, Yu. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:16:03Z |
| description | In the space $\mathfrak{M}$ of bounded numeric sequences, we consider dichotomonly differential equation with a matrix projector. We prove that Green's function of this equation exists,
and give the conditions, under which it is continuous and differentiable with respect to the parameters in the equation. |
| first_indexed | 2026-03-24T03:20:40Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5702 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:20:40Z |
| publishDate | 1994 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/24/2aa6ba42293f9fcaaf627a4300892324.pdf |
| spelling | umjimathkievua-article-57022020-03-19T09:16:03Z Dependence of Green’s function of an $e$-dichotomous differential equation with matrix projector in the space M on parameters О зависимости функции Грина $e$-дихотомичного дифференциального уравнения с матричным проектором в пространстве $\mathfrak{M}$ от параметров Teplinsky, Yu. V. Теплинский, Ю. В. Теплинский, Ю. В. In the space $\mathfrak{M}$ of bounded numeric sequences, we consider dichotomonly differential equation with a matrix projector. We prove that Green's function of this equation exists, and give the conditions, under which it is continuous and differentiable with respect to the parameters in the equation. У просторі $\mathfrak{M}$ обмежених числових послідовностей розглянуго $e$-дихогомічне диференціальне рівняння з матричним проектором. Доведено існування функції Гріна цього рівняння, а також наведені умови неперервної залежності її від параметрів, що входять до вихідного рівняння, та диференційовності за цими параметрами. Institute of Mathematics, NAS of Ukraine 1994-06-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5702 Ukrains’kyi Matematychnyi Zhurnal; Vol. 46 No. 6 (1994); 748–753 Український математичний журнал; Том 46 № 6 (1994); 748–753 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5702/8089 https://umj.imath.kiev.ua/index.php/umj/article/view/5702/8090 Copyright (c) 1994 Teplinsky Yu. V. |
| spellingShingle | Teplinsky, Yu. V. Теплинский, Ю. В. Теплинский, Ю. В. Dependence of Green’s function of an $e$-dichotomous differential equation with matrix projector in the space M on parameters |
| title | Dependence of Green’s function of an $e$-dichotomous differential equation with matrix projector in the space M on parameters |
| title_alt | О зависимости функции Грина $e$-дихотомичного дифференциального уравнения с матричным проектором в пространстве $\mathfrak{M}$ от параметров |
| title_full | Dependence of Green’s function of an $e$-dichotomous differential equation with matrix projector in the space M on parameters |
| title_fullStr | Dependence of Green’s function of an $e$-dichotomous differential equation with matrix projector in the space M on parameters |
| title_full_unstemmed | Dependence of Green’s function of an $e$-dichotomous differential equation with matrix projector in the space M on parameters |
| title_short | Dependence of Green’s function of an $e$-dichotomous differential equation with matrix projector in the space M on parameters |
| title_sort | dependence of green’s function of an $e$-dichotomous differential equation with matrix projector in the space m on parameters |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5702 |
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