Abstract
We set forth solvability conditions and construction of the generalized Green’s operator for a Noetherian matrix linear differential-algebraic boundary value problem. Sufficient conditions of reducibility of a generalized matrix differential-algebraic operator to a conventional differential-algebraic equation with an unknown column vector are established. To solve a matrix differential-algebraic boundary value problem, we employ a special solvability conditions and the construction of a general solution to a matrix Sylvester-type equation.
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Original Russian Text Copyright © 2015 Chuiko S.M.
Slavyansk. Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 56, No. 4, pp. 942–951, July–August, 2015; DOI: 10.17377/smzh.2015.56.417.
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Chuiko, S.M. The Green’s operator of a generalized matrix differential-algebraic boundary value problem. Sib Math J 56, 752–760 (2015). https://doi.org/10.1134/S0037446615040175
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DOI: https://doi.org/10.1134/S0037446615040175