Linear differential-functional equations with absolutely unstable solutions
UDC 517.929 For linear differential-functional equations of retarded and neutral types with infinitely many deviations and self-adjoint operator coefficients, we present necessary and sufficient conditions for the absolute instability of the zero solutions.
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| Datum: | 2026 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Ukrainisch |
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Institute of Mathematics, NAS of Ukraine
2026
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/1536 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1865788500583907328 |
|---|---|
| author | Slyusarchuk, V. Yu. Слюсарчук, В. Ю. |
| author_facet | Slyusarchuk, V. Yu. Слюсарчук, В. Ю. |
| author_institution_txt_mv | [
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"author": "В. Ю. Слюсарчук",
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| author_sort | Slyusarchuk, V. Yu. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2026-02-09T14:27:57Z |
| description | UDC 517.929
For linear differential-functional equations of retarded and neutral types with infinitely many deviations and self-adjoint operator coefficients, we present necessary and sufficient conditions for the absolute instability of the zero solutions. |
| doi_str_mv | 10.3842/umzh.v71i11.1536 |
| first_indexed | 2026-03-24T02:07:36Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-1536 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian |
| last_indexed | 2026-03-24T02:07:36Z |
| publishDate | 2026 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | |
| spelling | umjimathkievua-article-15362026-02-09T14:27:57Z Linear differential-functional equations with absolutely unstable solutions Лінійні диференціально-функціональні рівняння з абсолютно нестійкими розв’язками Slyusarchuk, V. Yu. Слюсарчук, В. Ю. UDC 517.929 For linear differential-functional equations of retarded and neutral types with infinitely many deviations and self-adjoint operator coefficients, we present necessary and sufficient conditions for the absolute instability of the zero solutions. УДК 517.929 Для лінійних диференціально-функціональних рівнянь запізнювального і нейтрального типів із нескінченним числом відхилень і самоспряженими операторними коефіцієнтами наведено необхідні й достатні умови абсолютної нестійкості нульових розв'язків. Institute of Mathematics, NAS of Ukraine 2026-02-09 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/1536 10.3842/umzh.v71i11.1536 Ukrains’kyi Matematychnyi Zhurnal; Vol. 71 No. 11 (2019); 1570-1578 Український математичний журнал; Том 71 № 11 (2019); 1570-1578 1027-3190 uk https://umj.imath.kiev.ua/index.php/umj/article/view/1536/518 Copyright (c) 2019 Slyusarchuk V. Yu. |
| spellingShingle | Slyusarchuk, V. Yu. Слюсарчук, В. Ю. Linear differential-functional equations with absolutely unstable solutions |
| title | Linear differential-functional equations with absolutely unstable solutions |
| title_alt | Лінійні диференціально-функціональні рівняння з абсолютно нестійкими розв’язками |
| title_full | Linear differential-functional equations with absolutely unstable solutions |
| title_fullStr | Linear differential-functional equations with absolutely unstable solutions |
| title_full_unstemmed | Linear differential-functional equations with absolutely unstable solutions |
| title_short | Linear differential-functional equations with absolutely unstable solutions |
| title_sort | linear differential-functional equations with absolutely unstable solutions |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/1536 |
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