The existence of periodic solutions of higher order nonlinear periodic difference equations |
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| Authors: | Yuji Liu Xingyuan Liu |
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| Institution: | 1. Department of Mathematics, Guangdong University of Business Studies, , Guangzhou, 510000 China;2. Science Department, Shaoyang University, , Shaoyang, 422000 China |
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| Abstract: | Sufficient conditions for the existence of at least one periodic solution of two classes of nonlinear higher order periodic difference equations are established, respectively. The results show us that sufficient conditions for the existence of T ? periodic solutions of difference equation are different from those ones for the existence of T ? periodic solutions of differential equation. Copyright © 2012 John Wiley & Sons, Ltd. |
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| Keywords: | periodic solution higher order difference equation fixed‐point theorem growth condition |
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