Boundedness of semilinear Duffing equations at resonance in a critical situation |
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Authors: | Xiumei Xing Jun Wang Yiqian Wang |
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Institution: | 1. School of Mathematics and statistics, Yili Normal University, Xinjiang 835000, PR China;2. Department of Mathematics and Physics, Hohai University Changzhou Campus, 213000, PR China;3. Department of Mathematics, Nanjing University, Nanjing 210093, PR China |
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Abstract: | In this paper, we propose a sufficient and necessary condition for the boundedness of all the solutions for the equation with the critical situation that on g and p, where , is periodic and is bounded. |
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Keywords: | 34C15 70H08 Semilinear Duffing equations Boundedness Canonical transformation At resonance Critical situation Moser's theorem |
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