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- W2809157473 abstract "This paper deals with the periodic solutions of second order equations with asymptotical non-resonance. Using the point of view that the force is a perturbation, we can think that, asymptotically, the solutions of forced non-autonomous equation behave as those of the autonomous equation. Then, under a sharp integral condition, we prove that the periodic solution of non-autonomous equation can be estimated by using time map of autonomous equation. The existence of periodic solutions is thus proved via qualitative analysis and topological degree theory. The main result in this paper generalize a existence result obtained by Capietto, Mawhin and Zanolin." @default.
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- W2809157473 date "2018-01-01" @default.
- W2809157473 modified "2023-09-26" @default.
- W2809157473 title "Periodic solutions of second order equations with asymptotical non-resonance" @default.
- W2809157473 doi "https://doi.org/10.3934/dcds.2018207" @default.
- W2809157473 hasPublicationYear "2018" @default.
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