A priori bounds for periodic solutions of a Duffing equation |
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| Authors: | Xinmin Wu Jingwen Li Yong Zhou |
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| Institution: | 1. Department of Mathematics, Shaoyang University, Hunan, 422000, People’s Republic of China
2. School of Mathematics and Computational Science, Xiangtan University, Xiangtan, Hunan, 411105, People’s Republic of China
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| Abstract: | In this paper a well known Duffing type equation is considered. By means of a Liapunov function and careful estimation, we establish a priori bounds for periodic solutions and their derived functions. Coincidence theorems can then be applied to yield sufficient conditions for the existence of periodic solutions. Our conclusion improve several well known results in the literature. |
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