Lebesgue Sets of Izobov Exponents of Linear Differential Systems. I
Vladimir Vladislavovich Bykov · Differential Equations · 2020
Abstract We give a complete description of the Lebesgue sets of upper Izobov $$\sigma$$-exponents of linear differential systems continuously depending on a parameter varying in a metric space. We prove the simultaneous attainability of the upper Izobov $$\sigma$$-exponents by the Lyapunov exponents and their upper semicontinuity as functions of the perturbation exponent $$-\sigma$$.