Abstract

We consider linear time-invariant differential equations with the Hukuhara derivative. We prove that if a solution of such an equation has a nonempty interior at the initial time, then the Lyapunov exponents of the radii of the inscribed and circumscribed spheres of this solution are strict and are equal to the minimum and maximum absolute values, respectively, of the eigenvalues of the coefficient matrix of the system.

中文翻译：

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Hukuhara导数的时不变线性微分方程解的内接球与外接球半径的Lyapunov指数

摘要

我们考虑使用Hukuhara导数的线性时不变微分方程。我们证明，如果此类方程的解在初始时间具有非空内部，则该解的内切和外切球面半径的Lyapunov指数是严格的，分别等于最小和最大绝对值，系统系数矩阵的特征值。