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Boundary-Value Problems for Systems of Linear Difference-Algebraic Equations

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We establish constructive conditions for the solvability of linear boundary-value problem for a system of difference-algebraic equations and develop a scheme for the construction of solutions of this problem. We also obtain sufficient conditions for the reducibility of a difference-algebraic system to a sequence of systems combining difference and algebraic equations. We propose an original classification and a unified scheme of construction of the solutions of difference-algebraic boundary-value problems.

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Authors and Affiliations

  1. Donbas State Pedagogic University, General Batyuk Str., 19, Slov’yans’k, 84116, Ukraine

    S. M. Chuiko, E. V. Chuiko & Ya. V. Kalinichenko

Authors
  1. S. M. Chuiko
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  2. E. V. Chuiko
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  3. Ya. V. Kalinichenko
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Correspondence to S. M. Chuiko.

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Translated from Neliniini Kolyvannya, Vol. 22, No. 4, pp. 560–573, October–December, 2019.

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Chuiko, S.M., Chuiko, E.V. & Kalinichenko, Y.V. Boundary-Value Problems for Systems of Linear Difference-Algebraic Equations. J Math Sci 254, 318–333 (2021). https://doi.org/10.1007/s10958-021-05307-4

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  • DOI: https://doi.org/10.1007/s10958-021-05307-4

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