ASYMPTOTIC EQUIVALENCE OF ALMOST PERIODIC SOLUTIONS FOR A CLASS OF PERTURBED ALMOST PERIODIC SYSTEMS

PINTO, MANUEL ; TORRES, VICTOR ; ROBLEDO, GONZALO

Glasgow mathematical journal, Tome 52 (2010) no. 3, pp. 583-592

Résumé

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.

Détail

DOI : 10.1017/S0017089510000443

Mots-clés : 34E10, 34C27, 34C41

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