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Time-Invariant Polyhedron-Preserving Linear Differential Equations with the Hukuhara Derivative

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Abstract

For a linear differential equation with the Hukuhara derivative and constant coefficient matrix, we obtain a necessary and sufficient condition under which every solution that is a polyhedron at the initial time remains a polyhedron (not necessarily with the same number of vertices) at all subsequent times.

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Correspondence to A. S. Voidelevich.

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Translated by V. Potapchouck

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Voidelevich, A.S. Time-Invariant Polyhedron-Preserving Linear Differential Equations with the Hukuhara Derivative. Diff Equat 56, 1664–1667 (2020). https://doi.org/10.1134/S00122661200120150

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  • DOI: https://doi.org/10.1134/S00122661200120150

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