ASYMPTOTIC EQUIVALENCE OF ALMOST PERIODIC SOLUTIONS FOR A CLASS OF PERTURBED ALMOST PERIODIC SYSTEMS
2010 ◽
Vol 52
(3)
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pp. 583-592
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Keyword(s):
AbstractThe 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.
2013 ◽
Vol 22
(1)
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pp. 73-91
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2018 ◽
Vol 49
(3)
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pp. 1125-1138
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1997 ◽
Vol 28
(7)
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pp. 1141-1155
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2009 ◽
Vol 49
(3-4)
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pp. 721-739
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