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Differential equation systems with selected part of the unknowns

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Abstract

Let a differential system A 1 y′ + A 0 y = 0 be of full rank and the matrix A 1 be possibly singular. Let a part of unknowns (components of a vector y) be selected. For this case, an algorithm is proposed that yields a system of the form ỹ′ for some part ỹ of components of the vector y, with the selected entries of y that do not belong to ỹ being linearly expressed via the selected entries that are in ỹ.

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Authors and Affiliations

  1. Department of Computational Mathematics and Cybernetics, Moscow State University, Moscow, 119991, Russia

    A. A. Panferov

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  1. A. A. Panferov
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Correspondence to A. A. Panferov.

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Original Russian Text © A.A. Panferov, 2015, published in Programmirovanie, 2015, Vol. 41, No. 2.

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Panferov, A.A. Differential equation systems with selected part of the unknowns. Program Comput Soft 41, 90–97 (2015). https://doi.org/10.1134/S036176881502005X

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  • DOI: https://doi.org/10.1134/S036176881502005X

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