Abstract
. In the work, a numerical method is proposed to solve a system of linear nonautonomous ordinary differential equations with non-separated multipoint and integral conditions. The proposed approach is based on the introduced operation of convolution of integral conditions into local ones. The method allows to reduce the solution of the original problem to the solution of Cauchy problem with respect to a system of ordinary differential equations and of linear algebraic equations. The stability of the computational schemes is shown.
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