Exact Solvability Conditions for the Cauchy Problem for Systems of First-Order Linear Functional-Differential Equations Determined by $(σ_1, σ_2, ... , σ_n; τ)$-Positive Operators
We obtain new sufficient conditions under which the Cauchy problem for a system of linear functional-differential equations is uniquely solvable for arbitrary forcing terms. The conditions established are unimprovable in a certain sense.
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| Datum: | 2003 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
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Institute of Mathematics, NAS of Ukraine
2003
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/4023 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510153952985088 |
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| author | Ronto, A. M. Ронто, А. Н. Ронто, А. Н. |
| author_facet | Ronto, A. M. Ронто, А. Н. Ронто, А. Н. |
| author_sort | Ronto, A. M. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:18:28Z |
| description | We obtain new sufficient conditions under which the Cauchy problem for a system of linear functional-differential equations is uniquely solvable for arbitrary forcing terms. The conditions established are unimprovable in a certain sense. |
| first_indexed | 2026-03-24T02:52:29Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4023 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:52:29Z |
| publishDate | 2003 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/8c/99945c8003e89e22b28c5f34306c438c.pdf |
| spelling | umjimathkievua-article-40232020-03-18T20:18:28Z Exact Solvability Conditions for the Cauchy Problem for Systems of First-Order Linear Functional-Differential Equations Determined by $(σ_1, σ_2, ... , σ_n; τ)$-Positive Operators Точные условия разрешимости задачи Коши для систем линейных функционально-дифференциальных уравнений первого порядка, задаваемых $(σ_1, σ_2, ... , σ_n; τ)$-положительпыми операторами Ronto, A. M. Ронто, А. Н. Ронто, А. Н. We obtain new sufficient conditions under which the Cauchy problem for a system of linear functional-differential equations is uniquely solvable for arbitrary forcing terms. The conditions established are unimprovable in a certain sense. Отримано попі достатні умови, за яких задача Коші для системи лінійних функціонально-диференціальних рівнянь є однозначно розв'язною при довільних адитивних збуреннях. Знайдені умови є в певному сенсі неполіпшуваними. Institute of Mathematics, NAS of Ukraine 2003-11-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4023 Ukrains’kyi Matematychnyi Zhurnal; Vol. 55 No. 11 (2003); 1541-1568 Український математичний журнал; Том 55 № 11 (2003); 1541-1568 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4023/4757 https://umj.imath.kiev.ua/index.php/umj/article/view/4023/4758 Copyright (c) 2003 Ronto A. M. |
| spellingShingle | Ronto, A. M. Ронто, А. Н. Ронто, А. Н. Exact Solvability Conditions for the Cauchy Problem for Systems of First-Order Linear Functional-Differential Equations Determined by $(σ_1, σ_2, ... , σ_n; τ)$-Positive Operators |
| title | Exact Solvability Conditions for the Cauchy Problem for Systems of First-Order Linear Functional-Differential Equations Determined by $(σ_1, σ_2, ... , σ_n; τ)$-Positive Operators |
| title_alt | Точные условия разрешимости задачи Коши для систем линейных функционально-дифференциальных уравнений первого порядка, задаваемых
$(σ_1, σ_2, ... , σ_n; τ)$-положительпыми операторами |
| title_full | Exact Solvability Conditions for the Cauchy Problem for Systems of First-Order Linear Functional-Differential Equations Determined by $(σ_1, σ_2, ... , σ_n; τ)$-Positive Operators |
| title_fullStr | Exact Solvability Conditions for the Cauchy Problem for Systems of First-Order Linear Functional-Differential Equations Determined by $(σ_1, σ_2, ... , σ_n; τ)$-Positive Operators |
| title_full_unstemmed | Exact Solvability Conditions for the Cauchy Problem for Systems of First-Order Linear Functional-Differential Equations Determined by $(σ_1, σ_2, ... , σ_n; τ)$-Positive Operators |
| title_short | Exact Solvability Conditions for the Cauchy Problem for Systems of First-Order Linear Functional-Differential Equations Determined by $(σ_1, σ_2, ... , σ_n; τ)$-Positive Operators |
| title_sort | exact solvability conditions for the cauchy problem for systems of first-order linear functional-differential equations determined by $(σ_1, σ_2, ... , σ_n; τ)$-positive operators |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4023 |
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