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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Main Authors: С. М. Чуйко, Д. В. Сисоєв
Format: Article
Language:English
Published: State University “Uzhhorod National University” 2017-06-01
Series:Науковий вісник Ужгородського університету. Серія: Математика і інформатика
Online Access:http://visnyk-math.uzhnu.edu.ua/article/view/144043
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spelling doaj-602f4970ff2a4a9e95776f3e38df01e22021-09-02T05:00:08ZengState 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
collection DOAJ
language English
format Article
sources DOAJ
author С. М. Чуйко
Д. В. Сисоєв
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
author_facet С. М. Чуйко
Д. В. Сисоєв
author_sort С. М. Чуйко
title 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_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_sort linear matrix differential-algebraic boundary-value problem in the case of parametric resonance
publisher State University “Uzhhorod National University”
series Науковий вісник Ужгородського університету. Серія: Математика і інформатика
issn 2616-7700
publishDate 2017-06-01
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.
url http://visnyk-math.uzhnu.edu.ua/article/view/144043
work_keys_str_mv AT smčujko linearmatrixdifferentialalgebraicboundaryvalueprobleminthecaseofparametricresonance
AT dvsisoêv linearmatrixdifferentialalgebraicboundaryvalueprobleminthecaseofparametricresonance
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