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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2013, Volume 53, Number 6, Pages 958–969
DOI: https://doi.org/10.7868/S0044466913060045 (Mi zvmmf9843) 		 
This article is cited in 26 scientific papers (total in 26 papers)

Application of perturbation theory to the solvability analysis of differential algebraic equations

A. A. Boichukab, A. A. Pokutnyiab, V. F. Chistyakovab

a Institute of Mathematics, Ukrainian National Academy of Sciences, Kiev
b Institute of System Dynamics and Control Theory, Siberian Branch of the Russian Academy of Sciences, Irkutsk
Full-text PDF (252 kB) Citations (26)
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DOI: https://doi.org/10.7868/S0044466913060045
Abstract: Linear systems of ordinary differential equations with an identically singular or rectangular matrix multiplying the derivative of the desired vector function are considered. The structure of general solutions is discussed. A special case of perturbed systems is studied by applying the Vishik–Lyusternik method.
Key words: differential algebraic equations, index, perturbation theory, Lyusternik theorem, structure of general solutions.
Received: 26.03.2012
English version:
Computational Mathematics and Mathematical Physics, 2013, Volume 53, Issue 6, Pages 777–788
DOI: https://doi.org/10.1134/S0965542513060043
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: A. A. Boichuk, A. A. Pokutnyi, V. F. Chistyakov, “Application of perturbation theory to the solvability analysis of differential algebraic equations”, Zh. Vychisl. Mat. Mat. Fiz., 53:6 (2013), 958–969; Comput. Math. Math. Phys., 53:6 (2013), 777–788
Citation in format AMSBIB
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    • This publication is cited in the following 26 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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