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A solution method for a nonlocal problem for a system of linear differential equations

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Abstract

For a system of linear ordinary differential equations supplemented by a linear nonlocal condition specified by the Stieltjes integral, a solution method is examined. Unlike the familiar methods for solving problems of this type, the proposed method does not use any specially chosen auxiliary boundary conditions. This method is numerically stable if the original problem is numerically stable.

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References

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Authors and Affiliations

  1. Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333, Russia

    A. A. Abramov

  2. Moscow Institute of Physics and Technology, Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141700, Russia

    A. A. Abramov

  3. Institute of Applied Mathematics, Russian Academy of Sciences, Miusskaya pl. 4a, Moscow, 125047, Russia

    L. F. Yukhno

  4. National Research Nuclear University, Kashirskoe sh., 31, Moscow, 115409, Russia

    L. F. Yukhno

Authors
  1. A. A. Abramov
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  2. L. F. Yukhno
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Correspondence to A. A. Abramov.

Additional information

Original Russian Text © A.A. Abramov, L.F. Yukhno, 2014, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2014, Vol. 54, No. 11, pp. 1752–1755.

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Abramov, A.A., Yukhno, L.F. A solution method for a nonlocal problem for a system of linear differential equations. Comput. Math. and Math. Phys. 54, 1686–1689 (2014). https://doi.org/10.1134/S0965542514110025

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  • DOI: https://doi.org/10.1134/S0965542514110025

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