Semicontinuity of Majorants and Minorants of Lyapunov's Exponents as Functions of Complex Parameter / A. N. Vetokhin. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2018. № 1. P. 63-67 [Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 34-37].

A parametric family of linear differential systems with continuous coefficients bounded on the semi - axis and analytically dependent on a complex parameter is considered . It is established that the majorant(minorant) of the Lyapunov exponent considered as a function of the parameter is upper(lower) semicontinuous .

Key words: Lyapunov exponents .