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On the regularization of a matrix differential-algebraic boundary-value problem

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Abstract

The conditions of regularization and the structure of generalized Green’s operator for a re-gularized linear matrix differential-algebraic boundary-value problem are found. To solve the problem of regularization of a generalized matrix differential-algebraic boundary-value problem, the original conditions of solvability and the structure of the general solution of a matrix equation of the Sylvester type are used.

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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. 13, No. 1, pp. 76–90, January–March, 2016.

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Chuiko, S.M. On the regularization of a matrix differential-algebraic boundary-value problem. J Math Sci 220, 591–602 (2017). https://doi.org/10.1007/s10958-016-3202-6

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  • DOI: https://doi.org/10.1007/s10958-016-3202-6

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