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.

中文翻译：

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带有Hukuhara导数的时不变多面体保线性微分方程

摘要

对于具有Hukuhara导数和常数系数矩阵的线性微分方程，我们获得了一个充要条件，在该条件下，初始时为多面体的每个解在所有后续时间均保持多面体（不一定具有相同的顶点数） 。