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Sibirskii Matematicheskii Zhurnal, 2007, Volume 48, Number 4, Pages 931–948 (Mi smj1756)  
This article is cited in 5 scientific papers (total in 5 papers)

Nonlinear differential algebraic equations

A. A. Shcheglova

Institute of System Dynamics and Control Theory, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (447 kB) Citations (5)
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Abstract: We consider a system of nonlinear ordinary differential equations that are not solved with respect to the derivative of the unknown vector function and degenerate identically in the domain of definition. We obtain conditions for the existence of an operator transforming the original system to the normal form and prove a general theorem on the solvability of the Cauchy problem.
Keywords: differential algebraic equation, reduction to normal form, existence of a solution, Cauchy problem.
Received: 27.10.2005
English version:
Siberian Mathematical Journal, 2007, Volume 48, Issue 4, Pages 746–761
DOI: https://doi.org/10.1007/s11202-007-0076-3
Bibliographic databases:
Language: Russian
Citation: A. A. Shcheglova, “Nonlinear differential algebraic equations”, Sibirsk. Mat. Zh., 48:4 (2007), 931–948; Siberian Math. J., 48:4 (2007), 746–761
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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