2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/218523The dynamics of strongly interacting trapped dilute Fermi gases (dilute in the sense that the range of interatomic potential is small compared with inter-particle spacing) is investigated in a single-equation approach to the time-dependent density-functional theory. Our results are in good agreement with recent experimental data in the BCS-BEC crossover regime. It is also shown that the calculated corrections to the hydrodynamic approximation may be important even for systems with a rather large number of atoms.Resubmitted to PRA in response to referee's comments. Abstract is changed. Added new figuresSoft Condensed Mattertext