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Existence of 2π-periodic solutions for the non-dissipative Duffing equation under asymptotic behaviors of potential function
Authors:W B Liu  Y Li
Institution:(1) Department of Mathematics, China University of Mining and Technology, Xuzhou, 221008, P. R. China;(2) Department of Mathematics, Jilin University, Chongchun, 130012, P. R. China
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. Received: November 12, 2003; revised: August 19, 2004
Keywords:34C25
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