This article is cited in 3 papers

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

A. A. Abramov^ab, L. F. Yukhno<sup>cd

a</sup> Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333, Russia
^b Moscow Institute of Physics and Technology, Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141700, Russia
^c Institute of Applied Mathematics, Russian Academy of Sciences, Miusskaya pl. 4a, Moscow, 125047, Russia
^d National Research Nuclear University, Kashirskoe sh., 31, Moscow, 115409, Russia

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.

Key words: linear system of ordinary differential equations, nonlocal condition, numerical stability.

UDC: 519.622.2

Received: 04.02.2014

DOI: 10.7868/S0044466914110027

 English version: Computational Mathematics and Mathematical Physics, 2014, 54:11, 1686–1689

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