Boundedness of solutions for asymmetric Duffing equations |
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| Authors: | Lufang Mi Pingping Zhang Huazhong Xu |
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| Institution: | Department of Mathematics and Information Science, Binzhou University, Binzhou, Shandong 256603, China |
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| Abstract: | In this paper, we are concerned with the boundedness of all the solutions and the existence of quasiperiodic solutions for some Duffing equations  , where e(t) is of period 1, and g : R → R possesses the characters: g(x) is superlinear when x ? d0, d0 is a positive constant and g(x) is semilinear when x ? 0. |
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| Keywords: | Quasiperiodic solution Duffing equation Moser&rsquo s small twist theorem Boundedness |
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