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Rate of decay of stable periodic solutions of Duffing equations |
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| Authors: | Hongbin Chen Yi Li |
| Affiliation: | a Department of Mathematics, Xian Jiaotong University, Xian 029-82667909, PR China b Department of Mathematics, University of Iowa, Iowa City, IA 52242, USA c Department of Mathematics, Hunan Normal University, Changsha, Hunan, PR China |
| Abstract: | In this paper, we consider the second-order equations of Duffing type. Bounds for the derivative of the restoring force are given that ensure the existence and uniqueness of a periodic solution. Furthermore, the stability of the unique periodic solution is analyzed; the sharp rate of exponential decay is determined for a solution that is near to the unique periodic solution. |
| Keywords: | 34B15 34D05 |
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