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On the unbounded extendability of solutions to nonlinear differential algebraic equations

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Abstract

We consider a system of nonlinear ordinary differential equations that are unsolved for the derivative of the unknown vector function and identically degenerate on the domain. We prove a theorem on the unbounded extendability of solutions to this system, allowing arbitrarily high unsolvability index with respect to the derivative.

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Authors and Affiliations

  1. Institute for System Dynamics and Control Theory, Irkutsk, Russia

    A. A. Shcheglova

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  1. A. A. Shcheglova
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Correspondence to A. A. Shcheglova.

Additional information

Original Russian Text Copyright © 2014 Shcheglova A.A.

The author was partially supported by the Presidium of the Russian Academy of Sciences (Grant 17.1) and the Russian Foundation for Basic Research (Grant 13-01-00287). Irkutsk.

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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 55, No. 4, pp. 937–953, July–August, 2014.

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Shcheglova, A.A. On the unbounded extendability of solutions to nonlinear differential algebraic equations. Sib Math J 55, 768–782 (2014). https://doi.org/10.1134/S003744661404017X

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  • DOI: https://doi.org/10.1134/S003744661404017X

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