Abstract.
In this paper,we give the existence conditions of periodic solutions for non-dissipative forced Duffing equations by asymptotic behaviors of potential under crossing resonant points, improving some known results to some extent.
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Received: November 12, 2003; revised: August 19, 2004
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Liu, W.B., Li, Y. Existence of 2π-periodic solutions for the non-dissipative Duffing equation under asymptotic behaviors of potential function. Z. angew. Math. Phys. 57, 1–11 (2005). https://doi.org/10.1007/s00033-005-0019-4
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DOI: https://doi.org/10.1007/s00033-005-0019-4