Linear matrix differential-algebraic boundary-value problem in the case of parametric resonance
We construct necessary and sufficient conditions for the existence of solution of linear boundary value problem for a parametric excitation system of differential-algebraic equations. The convergent iteration algorithms for the construction of the solutions of the linear boundary value problem for a...
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Format: | Article |
Language: | English |
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State University “Uzhhorod National University”
2017-06-01
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Series: | Науковий вісник Ужгородського університету. Серія: Математика і інформатика |
Online Access: | http://visnyk-math.uzhnu.edu.ua/article/view/144043 |
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author | С. М. Чуйко Д. В. Сисоєв |
author_facet | С. М. Чуйко Д. В. Сисоєв |
author_sort | С. М. Чуйко |
collection | DOAJ |
description | We construct necessary and sufficient conditions for the existence of solution of linear boundary value problem for a parametric excitation system of differential-algebraic equations. The convergent iteration algorithms for the construction of the solutions of the linear boundary value problem for a parametric excitation system of differential-algebraic equations in the critical case have been found. |
first_indexed | 2024-12-19T14:51:34Z |
format | Article |
id | doaj.art-602f4970ff2a4a9e95776f3e38df01e2 |
institution | Directory Open Access Journal |
issn | 2616-7700 |
language | English |
last_indexed | 2024-12-19T14:51:34Z |
publishDate | 2017-06-01 |
publisher | State University “Uzhhorod National University” |
record_format | Article |
series | Науковий вісник Ужгородського університету. Серія: Математика і інформатика |
spelling | doaj.art-602f4970ff2a4a9e95776f3e38df01e22022-12-21T20:16:49ZengState University “Uzhhorod National University”Науковий вісник Ужгородського університету. Серія: Математика і інформатика2616-77002017-06-0101(30)11813210.24144/2616-7700.2017.1(30).118-132144043Linear matrix differential-algebraic boundary-value problem in the case of parametric resonanceС. М. ЧуйкоД. В. СисоєвWe construct necessary and sufficient conditions for the existence of solution of linear boundary value problem for a parametric excitation system of differential-algebraic equations. The convergent iteration algorithms for the construction of the solutions of the linear boundary value problem for a parametric excitation system of differential-algebraic equations in the critical case have been found.http://visnyk-math.uzhnu.edu.ua/article/view/144043 |
spellingShingle | С. М. Чуйко Д. В. Сисоєв Linear matrix differential-algebraic boundary-value problem in the case of parametric resonance Науковий вісник Ужгородського університету. Серія: Математика і інформатика |
title | Linear matrix differential-algebraic boundary-value problem in the case of parametric resonance |
title_full | Linear matrix differential-algebraic boundary-value problem in the case of parametric resonance |
title_fullStr | Linear matrix differential-algebraic boundary-value problem in the case of parametric resonance |
title_full_unstemmed | Linear matrix differential-algebraic boundary-value problem in the case of parametric resonance |
title_short | Linear matrix differential-algebraic boundary-value problem in the case of parametric resonance |
title_sort | linear matrix differential algebraic boundary value problem in the case of parametric resonance |
url | http://visnyk-math.uzhnu.edu.ua/article/view/144043 |
work_keys_str_mv | AT smčujko linearmatrixdifferentialalgebraicboundaryvalueprobleminthecaseofparametricresonance AT dvsisoêv linearmatrixdifferentialalgebraicboundaryvalueprobleminthecaseofparametricresonance |