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Periodic solutions of difference equations |
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| Authors: | F. Dannan P. Liu |
| Affiliation: | 1. Department of Mathematics , Trinity University , San Antonio, TX, 78212, USA;2. Department of Mathematics and Statistics , The Flinders University of South Australia , GPO Box 2100, Adelaide, 5001, Australia |
| Abstract: | We give an overview of results on the existence of periodic solutions of difference equations that have been obtained in the last two decades. The survey covers both ordinary and Volterra difference systems. Some extensions and generalizations of known result are also presented. |
| Keywords: | Periodic Volterra difference equations Resolvent matrix Fredholm's alternative Adjoint equation Sharkovsky's Theorem Lyness equation |