Geodesic
ASYMPTOTIC EQUIVALENCE OF ALMOST PERIODIC SOLUTIONS FOR A CLASS OF PERTURBED ALMOST PERIODIC SYSTEMS
Glasgow mathematical journal, Tome 52 (2010) no. 3, pp. 583-592

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DOI

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.
DOI : 10.1017/S0017089510000443
Mots-clés : 34E10, 34C27, 34C41 
PINTO, MANUEL; TORRES, VICTOR; ROBLEDO, GONZALO. ASYMPTOTIC EQUIVALENCE OF ALMOST PERIODIC SOLUTIONS FOR A CLASS OF PERTURBED ALMOST PERIODIC SYSTEMS. Glasgow mathematical journal, Tome 52 (2010) no. 3, pp. 583-592. doi: 10.1017/S0017089510000443
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     author = {PINTO, MANUEL and TORRES, VICTOR and ROBLEDO, GONZALO},
     title = {ASYMPTOTIC {EQUIVALENCE} {OF} {ALMOST} {PERIODIC} {SOLUTIONS} {FOR} {A} {CLASS} {OF} {PERTURBED} {ALMOST} {PERIODIC} {SYSTEMS}},
     journal = {Glasgow mathematical journal},
     pages = {583--592},
     year = {2010},
     volume = {52},
     number = {3},
     doi = {10.1017/S0017089510000443},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089510000443/}
}
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%A ROBLEDO, GONZALO
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