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Index for linear systems of differential-algebraic equations with partial derivatives

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Abstract

We investigate time-varying linear differential algebraic equations with partial derivatives. We introduce concept of insolubility index as the least possible order of the differential operator which transforms the initial system into a structural form with separated the “algebraic” and “differential” subsystems. The approach does not assume the existence of differential indexes with respect to independent variables.

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Authors and Affiliations

  1. Institute for System Dynamics and Control Theory, Siberian Branch of the Russian Academy of Sciences, ul. Lermontova 134, Irkutsk, 664033, Russia

    A. A. Shcheglova & S. A. Anishchuk

Authors
  1. A. A. Shcheglova
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  2. S. A. Anishchuk
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Correspondence to A. A. Shcheglova.

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Original Russian Text © A.A. Shcheglova and S.A. Anishchuk, 2014, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, No. 4, pp. 62–79.

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Shcheglova, A.A., Anishchuk, S.A. Index for linear systems of differential-algebraic equations with partial derivatives. Russ Math. 58, 52–68 (2014). https://doi.org/10.3103/S1066369X14040070

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  • DOI: https://doi.org/10.3103/S1066369X14040070

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