Remark on the theory of Sergeev frequencies of zeros, signs, and roots for solutions of linear differential equations: I

Аннотация

For linear differential equations with continuous coefficients, we compute the Borel types of Lebesgue sets of their lower and upper characteristic frequencies of zeros, signs, and roots, which are treated as functions on the direct product of the space of equations with the compact-open topology and the space of initial vectors of solutions.