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Existence of 2π-periodic solutions for the non-dissipative Duffing equation under asymptotic behaviors of potential function

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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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Authors and Affiliations

  1. Department of Mathematics, China University of Mining and Technology, Xuzhou, 221008, P. R. China

    W. B. Liu & Y. Li

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  1. W. B. Liu
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  2. Y. Li
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Correspondence to W. B. Liu.

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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

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