Asymptotic equivalence of differential equations and asymptotically almost periodic solutions

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/107355In this paper we establish asymptotic (biasymptotic) equivalence between spaces of solutions of a given linear homogeneous system and a perturbed system. The perturbations are of either linear or weakly linear characters. Existence of a homeomorphism between subspaces of almost periodic and asymptotically (biasymptotically) almost periodic solutions is also obtained.Dynamical Systems34A30, 34C27, 34C41, 34D10Asymptotic equivalence of differential equations and asymptotically almost periodic solutionstext