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Vestnik Yuzhno-Ural'skogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie, 2014, Volume 7, Issue 3, Pages 33–39
DOI: https://doi.org/10.14529/mmp140303
(Mi vyuru142)
 

Mathematical Modelling

On global in time solutions for differential-algebraic equations

Yu. E. Gliklikh

Voronezh State University, Voronezh, Russian Federation
References:
Abstract: We investigate differential-algebraic equations arising in mathematical models that describe some radio-technical devises. A class of differential-algebraic equations is described, for which necessary and sufficient conditions for global in time existence of solutions are proved. As well as in many papers where sufficient conditions for such equations are obtained, we reduce them to ordinary differential equations and then apply the necessary and sufficient conditions for the latter. We deal with the systems whose matrix pencil is regular and (for simplicity) the characteristic polynomial satisfies the rank-degree condition. We also require some additional conditions that allow us to reduce the differential-algebraic system to ordinary differential one.
Keywords: differential-algebraic equation; global existence of solution; proper function; complete Riemannian metric.
Received: 23.04.2014
Document Type: Article
MSC: 34A09, 34A12
Language: English
Citation: Yu. E. Gliklikh, “On global in time solutions for differential-algebraic equations”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 7:3 (2014), 33–39
Citation in format AMSBIB
\Bibitem{Gli14}
\by Yu.~E.~Gliklikh
\paper On global in time solutions for differential-algebraic equations
\jour Vestnik YuUrGU. Ser. Mat. Model. Progr.
\yr 2014
\vol 7
\issue 3
\pages 33--39
\mathnet{http://mi.mathnet.ru/vyuru142}
\crossref{https://doi.org/10.14529/mmp140303}
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