Geodesic
High-frequency asymptotics of solutions of ODE in a~Banach space
Izvestiya. Mathematics , Tome 81 (2017) no. 6, pp. 1234-1252

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We construct and justify high-frequency asymptotic expansions of solutions for some class of linear ODE in a Banach space. In particular, we obtain new results in the case when the averaged ODE are degenerate.
Keywords: periodic solution, differential equation, averaging, homogenization. 
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     author = {L. I. Sazonov},
     title = {High-frequency asymptotics of solutions of {ODE} in {a~Banach} space},
     journal = {Izvestiya. Mathematics },
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     url = {http://geodesic.mathdoc.fr/item/IM2_2017_81_6_a8/}
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L. I. Sazonov. High-frequency asymptotics of solutions of ODE in a~Banach space. Izvestiya. Mathematics , Tome 81 (2017) no. 6, pp. 1234-1252. http://geodesic.mathdoc.fr/item/IM2_2017_81_6_a8/