Finite-dimensional Perron effect of change of all values of characteristic exponents of differential systems
N. A. Izobov, А. В. Ильин · Differential Equations · 2013
We obtain a finite-dimensional Perron effect of change of values λ 1 ≤ … ≤ λ n 1 of smallness in a neighborhood of the origin and growth outside it. Each value β k is realized by all nontrivial solutions of the perturbed system issuing from the difference R k |R k−1 of embedded subspaces R 1 ⊂ R 2 ⊂ … ⊂ R n .