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Sibirskii Matematicheskii Zhurnal, 2020, Volume 61, Number 5, Pages 1144–1158
DOI: https://doi.org/10.33048/smzh.2020.61.515 (Mi smj6044) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Upon the concept of index of linear partial differential-algebraic equations

V. F. Chistyakova, E. V. Chistyakovaa, Nguen Khak Diepb

a Matrosov Institute for System Dynamics and Control Theory of Siberian Branch of Russian Academy of Sciences, Irkutsk
b Institute of Information Technology, Ho Chi Minh, Vietnam
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DOI: https://doi.org/10.33048/smzh.2020.61.515
Abstract: We consider linear evolutionary systems of partial differential equations with constant coefficients of general form. We suppose that the matrix of operators at the higher time derivative of the sought vector-function is degenerate. These systems are called partial differential-algebraic equations (DAEs). The index is the most important characteristic defining the structure complexity of these equations. We discuss the ways of approach to the definition of index for partial DAEs and some related questions.
Keywords: differential-algebraic equation, constant coefficient, partial derivative, degenerate system, index.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00643_а
18-29-10019_мк
The authors were supported by the Russian Foundation for Basic Research (Grants 18–01–00643 and 18–29–10019).
Received: 12.02.2020
Revised: 12.02.2020
Accepted: 08.04.2020
English version:
Siberian Mathematical Journal, 2020, Volume 61, Issue 5, Pages 913–925
DOI: https://doi.org/10.1134/S0037446620050158
Bibliographic databases:
Document Type: Article
UDC: 517.951
MSC: 35R30
Language: Russian
Citation: V. F. Chistyakov, E. V. Chistyakova, Nguen Khak Diep, “Upon the concept of index of linear partial differential-algebraic equations”, Sibirsk. Mat. Zh., 61:5 (2020), 1144–1158; Siberian Math. J., 61:5 (2020), 913–925
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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    		Сибирский математический журнал Siberian Mathematical Journal
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