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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, Number 4, Pages 62–79 (Mi ivm8889)  
This article is cited in 1 scientific paper (total in 1 paper)

An index of linear system of differential-algebraic system with partial derivatives

A. A. Shcheglova, S. A. Anishchuk

Institute for System Dynamics and Control Theory, Siberian Branch of Russian Academy of Sciences, 134 Lermontov str., Irkutsk, 664033 Russia
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Abstract: We investigate time-varying linear differential algebraic equations with partial derivatives. We introduce the concept of unsolvability index as the least possible order of the differential operator, which transforms the original system into the structural form with separated the “algebraic” and “differential” subsystems. The approach does not assume the existence of differential indexes with respect to independent variables.
Keywords: partial differential algebraic equations, unsolvability index, structural form.
Received: 09.11.2012
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2014, Volume 58, Issue 4, Pages 52–68
DOI: https://doi.org/10.3103/S1066369X14040070
Bibliographic databases:
Document Type: Article
UDC: 517.922+517.951
Language: Russian
Citation: A. A. Shcheglova, S. A. Anishchuk, “An index of linear system of differential-algebraic system with partial derivatives”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 4, 62–79; Russian Math. (Iz. VUZ), 58:4 (2014), 52–68
Citation in format AMSBIB
\Bibitem{ShcAni14}
\by A.~A.~Shcheglova, S.~A.~Anishchuk
\paper An index of linear system of differential-algebraic system with partial derivatives
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2014
\issue 4
\pages 62--79
\mathnet{http://mi.mathnet.ru/ivm8889}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2014
\vol 58
\issue 4
\pages 52--68
\crossref{https://doi.org/10.3103/S1066369X14040070}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84898996538}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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