2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/72872The main purpose of the present work is solving the characterization problem which consist of identification of necessary and sufficient conditions on the scattering data ensuring that the reconstructed potential belongs to a particular class11pagesSpectral Theory34B25, 34L05, 34L25, 47A40, 81U40The characterization problem for one class high order ordinary differential operators with periodic coefficientstext