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On a Reduction of the Order in a Differential-Algebraic System

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Abstract

The conditions of solvability and the structure of a generalized Green operator of the Cauchy problem for a linear differential-algebraic system are found. The sufficient conditions of reducibility of a differential-algebraic equation to a sequence of systems joining differential and algebraic equations are constructed. An original classification and a single scheme of construction of the solutions of differentialalgebraic equations are proposed.

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Authors and Affiliations

  1. Donbas State Pedagogical University, Slavyansk, Ukraine

    Sergei M. Chuiko

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  1. Sergei M. Chuiko
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Correspondence to Sergei M. Chuiko.

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Translated from Ukrains’kiĭ Matematychnyĭ Visnyk, Vol. 15, No. 1, pp. 1–17 January–March, 2018.

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Chuiko, S.M. On a Reduction of the Order in a Differential-Algebraic System. J Math Sci 235, 2–14 (2018). https://doi.org/10.1007/s10958-018-4054-z

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  • DOI: https://doi.org/10.1007/s10958-018-4054-z

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