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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2019, Volume 59, Number 11, Pages 1856–1871
DOI: https://doi.org/10.1134/S0044466919110139 (Mi zvmmf10979) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On a quasi-linear partial differential algebraic system of equations

S. V. Svinina

Matrosov Institute for System Dynamics and Control Theory, Siberian Branch, Russian Academy of Sciences, Irkutsk, 664033 Russia
Citations (2)
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DOI: https://doi.org/10.1134/S0044466919110139
Abstract: A mixed problem for a quasi-linear first-order partial differential algebraic system of equations of index (1,0) with two independent variables is considered. An existence theorem for this problem is proved using the method of characteristics and an iterative method.
Key words: quasi-linear partial differential algebraic system of equations, index, method of characteristics.
Received: 08.07.2019
Revised: 08.07.2019
Accepted: 08.07.2019
English version:
Computational Mathematics and Mathematical Physics, 2019, Volume 59, Issue 11, Pages 1791–1805
DOI: https://doi.org/10.1134/S0965542519110125
Bibliographic databases:
Document Type: Article
UDC: 517.951
Language: Russian
Citation: S. V. Svinina, “On a quasi-linear partial differential algebraic system of equations”, Zh. Vychisl. Mat. Mat. Fiz., 59:11 (2019), 1856–1871; Comput. Math. Math. Phys., 59:11 (2019), 1791–1805
Citation in format AMSBIB
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\transl
\jour Comput. Math. Math. Phys.
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  • https://www.mathnet.ru/eng/zvmmf10979
  • https://www.mathnet.ru/eng/zvmmf/v59/i11/p1856
    • This publication is cited in the following 2 articles:
    1. S. V. Svinina, “Ob ustoichivosti lokalno-odnomernoi raznostnoi skhemy dlya lineinoi differentsialno-algebraicheskoi sistemy pervogo poryadka indeksa (1,0)”, Izv. vuzov. Matem., 2023, no. 4, 37–50  mathnet  crossref
    2. S. V. Svinina, “On the Stability of a Locally One-Dimensional Difference Scheme for a First-Order Linear Differential-Algebraic System of Index (1, 0)”, Russ Math., 67:4 (2023), 31  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    References:17
     
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