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Solving a singular nonlocal problem with redundant conditions for a system of linear ordinary differential equations

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Abstract

A system of linear ordinary differential equations is examined on an infinite or semi-infinite interval. The basic conditions are nonlocal and are specified by a Stieltjes integral; moreover, certain redundant (and also nonlocal) conditions are imposed. At infinity, the solution is required to be bounded. A method for solving such an over-determined problem is proposed and analyzed. The method is numerically stable if an auxiliary problem that replaces the original one 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 (MFTI)

    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 (Moscow Engineering Physics Institute, MEPHI), 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, 2015, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2015, Vol. 55, No. 3, pp. 385–392.

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Abramov, A.A., Yukhno, L.F. Solving a singular nonlocal problem with redundant conditions for a system of linear ordinary differential equations. Comput. Math. and Math. Phys. 55, 378–385 (2015). https://doi.org/10.1134/S0965542515030021

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  • DOI: https://doi.org/10.1134/S0965542515030021

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