Abstract
We pose a linear matrix differential-algebraic boundary-value problem generalizing the traditional linear boundary-value problems for differential-algebraic equations. We have found the constructive conditions of existence and an algorithm of construction of the solutions of a linear matrix differentialalgebraic boundary-value problem. We propose the construction of a generalized Green operator for the determination of solutions of the linear differential-algebraic boundary-value problem and give some examples of construction of such solutions.
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The work is performed under the financial support of the State Fund of Fundamental Studies of Ukraine (State’s registration number 0115U003182).
Translated from Ukrains’kiĭ Matematychny˘ı Visnyk, Vol. 14, No. 1, pp. 16–32, January–March, 2017.
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Chuiko, S.M. To the issue of a generalization of the matrix differential-algebraic boundary-value problem. J Math Sci 227, 13–25 (2017). https://doi.org/10.1007/s10958-017-3571-5
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DOI: https://doi.org/10.1007/s10958-017-3571-5