Periodic solutions for dynamic equations on time scales |
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| Authors: | Xi-Lan Liu Wan-Tong Li |
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| Affiliation: | 1. Department of Mathematics, Qinghai Nationalities University, Xining, Qinghai 810007, People’s Republic of China;2. School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu 730000, People’s Republic of China |
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| Abstract: | Massera type criteria are established for the existence of periodic solutions of linear and nonlinear dynamic equations on time scales. Some interesting properties of the exponential function on time scales are presented. Furthermore, a sufficient condition guaranteeing the boundedness of the solutions of the equation is presented. |
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| Keywords: | 34C25 39A12 |
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