Asymptotic Equivalence of Almost Periodic Solutions for a Class of Perturbed Almost Periodic Systems

This is the authors' abstract. We don't add key points for this paper.

The solutions of a perturbed linear ordinary differential equation (ODE) system are studied. Provided that some integrability and oddness conditions are satisfied, we show that they are asymptotically equivalent at t = ±∞ to the solutions of the unperturbed one. This fact is used to determine the existence of almost periodic or pseudo-almost periodic solutions of the perturbed system.